Selected Results
2023-03-23
Overview: Preliminary results
Models results from last meeting. You can find models divided by AR term (0,1), type of dependent variable, state sample, and p-value level (0.01, 0.001).
The two states samples are indicated with 1 and 2, where: 1 = high income states, 2 = low income states.
AR0
Ihs Patent Count
0.01
1
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:38:14 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -5.6371e-07 2.5488e-07 -2.2116 0.0275078 *
pop 9.3796e-05 2.7135e-05 3.4566 0.0006002 ***
avg_temp 3.5728e-03 1.3510e-02 0.2645 0.7915510
fuel 7.7279e-04 4.6718e-03 0.1654 0.8686926
idCalifornia -1.7307e-01 5.8039e-01 -0.2982 0.7656920
idColorado -8.9717e-02 2.4907e-01 -0.3602 0.7188697
idConnecticut 9.0826e-01 2.1829e-01 4.1608 3.817e-05 ***
idFlorida -8.6535e-01 3.1022e-01 -2.7895 0.0055090 **
idGeorgia -8.4655e-01 1.5678e-01 -5.3996 1.096e-07 ***
idIllinois -2.1116e-01 2.2260e-01 -0.9486 0.3433598
idIndiana -1.0819e+00 1.8407e-01 -5.8775 8.247e-09 ***
idLouisiana -1.8671e+00 1.7176e-01 -10.8704 < 2.2e-16 ***
idMaryland -6.5695e-01 1.5867e-01 -4.1403 4.161e-05 ***
idMassachusetts 8.9243e-01 2.1878e-01 4.0792 5.367e-05 ***
idMichigan 9.7360e-02 2.7616e-01 0.3526 0.7245943
idMinnesota 2.6581e-01 2.9432e-01 0.9031 0.3669633
idMissouri -1.3170e+00 1.6081e-01 -8.1898 2.879e-15 ***
idNewJersey -9.0586e-02 1.8021e-01 -0.5027 0.6154481
idNewYork 7.0322e-01 3.7251e-01 1.8878 0.0597127 .
idNorthCarolina -2.1745e-01 1.5503e-01 -1.4027 0.1614221
idOhio 2.8565e-02 2.2363e-01 0.1277 0.8984187
idPennsylvania 1.9831e-02 2.5292e-01 0.0784 0.9375408
idTennessee -1.2990e+00 2.0472e-01 -6.3449 5.549e-10 ***
idTexas -6.3795e-01 3.7279e-01 -1.7113 0.0877384 .
idVirginia -4.3928e-01 1.5997e-01 -2.7460 0.0062809 **
idWashington -6.2001e-02 2.3662e-01 -0.2620 0.7934215
idWisconsin -4.1343e-01 2.6985e-01 -1.5321 0.1262250
time2000 2.6073e+00 8.4198e-01 3.0966 0.0020829 **
time2001 2.8068e+00 8.4995e-01 3.3023 0.0010372 **
time2002 2.8648e+00 8.4945e-01 3.3725 0.0008108 ***
time2003 2.8717e+00 8.4043e-01 3.4170 0.0006922 ***
time2004 3.0404e+00 8.5682e-01 3.5485 0.0004292 ***
time2005 3.2284e+00 8.8362e-01 3.6536 0.0002898 ***
time2006 3.3384e+00 9.0758e-01 3.6783 0.0002639 ***
time2007 3.4709e+00 9.1092e-01 3.8103 0.0001586 ***
time2008 3.5570e+00 9.5365e-01 3.7299 0.0002167 ***
time2009 3.7612e+00 8.7573e-01 4.2950 2.153e-05 ***
time2010 3.7638e+00 9.1839e-01 4.0983 4.959e-05 ***
time2011 3.7430e+00 9.6245e-01 3.8891 0.0001162 ***
time2012 3.6829e+00 9.8052e-01 3.7561 0.0001959 ***
time2013 3.6478e+00 9.5101e-01 3.8357 0.0001436 ***
time2014 3.3678e+00 9.2341e-01 3.6471 0.0002970 ***
time2015 3.4269e+00 8.7353e-01 3.9231 0.0001014 ***
time2016 3.2853e+00 8.8081e-01 3.7298 0.0002167 ***
time2017 3.2120e+00 8.8904e-01 3.6129 0.0003378 ***
time2018 3.2810e+00 9.0058e-01 3.6432 0.0003015 ***
time2019 3.2003e+00 8.8360e-01 3.6219 0.0003266 ***
time2020 2.1091e+00 8.7422e-01 2.4125 0.0162508 *
iis106 9.1541e-01 2.2844e-01 4.0073 7.213e-05 ***
iis170 -1.0173e+00 2.3385e-01 -4.3504 1.692e-05 ***
iis188 7.4279e-01 2.4309e-01 3.0556 0.0023831 **
iis275 -1.4747e+00 2.2840e-01 -6.4565 2.844e-10 ***
iis400 -1.0131e+00 2.7205e-01 -3.7240 0.0002216 ***
iis443 -1.1598e+00 2.2830e-01 -5.0803 5.584e-07 ***
fesisArizona.2003 -4.3631e-01 1.4180e-01 -3.0770 0.0022218 **
fesisCalifornia.2006 3.4886e-01 1.2988e-01 2.6861 0.0075031 **
fesisColorado.2007 3.4828e-01 1.0401e-01 3.3484 0.0008829 ***
fesisConnecticut.2009 -6.0754e-01 1.0009e-01 -6.0699 2.770e-09 ***
fesisLouisiana.2011 -9.7221e-01 1.3301e-01 -7.3095 1.278e-12 ***
fesisLouisiana.2015 9.6624e-01 1.4954e-01 6.4616 2.758e-10 ***
fesisMinnesota.2008 -3.6000e-01 1.0182e-01 -3.5356 0.0004501 ***
fesisNewYork.2005 -3.8493e-01 1.2228e-01 -3.1479 0.0017564 **
fesisTennessee.2003 -8.4360e-01 2.2219e-01 -3.7968 0.0001672 ***
fesisTennessee.2005 9.2958e-01 1.6686e-01 5.5710 4.423e-08 ***
fesisWisconsin.2014 4.7041e-01 1.0495e-01 4.4824 9.429e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.37588 1 0.53982
Ljung-Box ARCH(1) 3.87310 1 0.04907 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.21713
R-squared 0.95754
Log-lik.(n=504) 87.09436 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:40:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -2.5813e+00 4.1553e+00 -0.6212 0.5347871
gdp_sq -4.3944e-14 8.6318e-14 -0.5091 0.6109408
lpop 2.4698e+00 4.4775e-01 5.5160 5.942e-08 ***
lgdp_sq 7.4890e-02 1.6098e-01 0.4652 0.6420049
avg_temp 8.8563e-04 1.3250e-02 0.0668 0.9467400
lfuel -1.3748e-01 2.6837e-01 -0.5123 0.6087215
idCalifornia -1.5671e+00 6.4792e-01 -2.4187 0.0159809 *
idColorado 4.0547e-01 2.5394e-01 1.5967 0.1110504
idConnecticut 1.8170e+00 2.8963e-01 6.2735 8.483e-10 ***
idFlorida -2.0984e+00 4.3002e-01 -4.8798 1.489e-06 ***
idGeorgia -1.4568e+00 2.3521e-01 -6.1936 1.356e-09 ***
idIllinois -1.1986e+00 3.4600e-01 -3.4641 0.0005845 ***
idIndiana -1.2335e+00 1.9404e-01 -6.3568 5.179e-10 ***
idLouisiana -1.4357e+00 1.9592e-01 -7.3279 1.135e-12 ***
idMaryland -5.5832e-01 1.8016e-01 -3.0990 0.0020670 **
idMassachusetts 8.4922e-01 2.6301e-01 3.2289 0.0013364 **
idMichigan -6.4051e-01 3.3003e-01 -1.9408 0.0529264 .
idMinnesota 4.5598e-01 2.9927e-01 1.5236 0.1283193
idMissouri -1.3617e+00 1.6541e-01 -8.2325 2.126e-15 ***
idNewJersey -5.3990e-01 2.5748e-01 -2.0969 0.0365762 *
idNewYork -6.2021e-01 5.2223e-01 -1.1876 0.2356291
idNorthCarolina -8.2291e-01 2.2940e-01 -3.5873 0.0003718 ***
idOhio -8.2327e-01 3.1619e-01 -2.6037 0.0095347 **
idPennsylvania -9.2205e-01 3.5419e-01 -2.6033 0.0095468 **
idTennessee -1.3908e+00 1.5430e-01 -9.0137 < 2.2e-16 ***
idTexas -1.9925e+00 5.0476e-01 -3.9474 9.201e-05 ***
idVirginia -7.9037e-01 2.1583e-01 -3.6620 0.0002808 ***
idWashington -1.8143e-01 2.6538e-01 -0.6836 0.4945607
idWisconsin -4.1157e-01 2.6845e-01 -1.5331 0.1259700
time2000 2.8386e+00 2.6987e+01 0.1052 0.9162753
time2001 3.0072e+00 2.6997e+01 0.1114 0.9113583
time2002 3.0603e+00 2.6997e+01 0.1134 0.9098004
time2003 3.1122e+00 2.6988e+01 0.1153 0.9082471
time2004 3.2852e+00 2.6975e+01 0.1218 0.9031238
time2005 3.5670e+00 2.6964e+01 0.1323 0.8948164
time2006 3.7007e+00 2.6957e+01 0.1373 0.8908695
time2007 3.8529e+00 2.6952e+01 0.1430 0.8863939
time2008 3.9906e+00 2.6936e+01 0.1481 0.8822944
time2009 4.0659e+00 2.6960e+01 0.1508 0.8801942
time2010 4.1189e+00 2.6950e+01 0.1528 0.8785966
time2011 4.1400e+00 2.6939e+01 0.1537 0.8779307
time2012 4.0776e+00 2.6941e+01 0.1514 0.8797642
time2013 4.0343e+00 2.6938e+01 0.1498 0.8810217
time2014 3.7276e+00 2.6943e+01 0.1384 0.8900268
time2015 3.6567e+00 2.6982e+01 0.1355 0.8922589
time2016 3.4945e+00 2.6989e+01 0.1295 0.8970372
time2017 3.4596e+00 2.6977e+01 0.1282 0.8980160
time2018 3.5519e+00 2.6965e+01 0.1317 0.8952643
time2019 3.4441e+00 2.6972e+01 0.1277 0.8984510
time2020 2.2550e+00 2.6995e+01 0.0835 0.9334657
iis106 1.0570e+00 2.2675e-01 4.6615 4.173e-06 ***
iis170 -1.0956e+00 2.3134e-01 -4.7357 2.953e-06 ***
iis188 7.7560e-01 2.3954e-01 3.2379 0.0012958 **
iis275 -1.4701e+00 2.2525e-01 -6.5267 1.863e-10 ***
iis400 -1.0040e+00 2.2618e-01 -4.4391 1.145e-05 ***
iis403 -1.0982e+00 2.2497e-01 -4.8817 1.476e-06 ***
iis443 -1.0940e+00 2.2499e-01 -4.8623 1.620e-06 ***
fesisArizona.2003 -6.0508e-01 1.5184e-01 -3.9850 7.904e-05 ***
fesisCalifornia.2006 4.1841e-01 1.3900e-01 3.0102 0.0027620 **
fesisConnecticut.2009 -5.8879e-01 1.0031e-01 -5.8698 8.623e-09 ***
fesisIllinois.2018 5.3234e-01 1.4043e-01 3.7907 0.0001713 ***
fesisLouisiana.2011 -9.7769e-01 1.3139e-01 -7.4410 5.328e-13 ***
fesisLouisiana.2015 9.6265e-01 1.4954e-01 6.4373 3.199e-10 ***
fesisMinnesota.2008 -3.7161e-01 1.0112e-01 -3.6749 0.0002674 ***
fesisNewYork.2005 -3.7104e-01 1.2062e-01 -3.0762 0.0022278 **
fesisWisconsin.2014 5.2625e-01 1.0449e-01 5.0366 6.941e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.43098 1 0.51151
Ljung-Box ARCH(1) 2.72552 1 0.09876 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.21386
R-squared 0.95891
Log-lik.(n=504) 95.24642 2
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:39:42 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp 1.0759e-05 4.3273e-06 2.4864 0.0132284 *
pop -4.0204e-04 3.6860e-04 -1.0907 0.2759174
avg_temp 1.0201e-02 2.5170e-02 0.4053 0.6854497
fuel -5.9873e-03 9.8945e-03 -0.6051 0.5453738
idAlaska -7.6065e-01 1.4153e+00 -0.5375 0.5911824
idArkansas -7.6462e-01 5.4402e-01 -1.4055 0.1604884
idDelaware 1.4318e+00 1.1108e+00 1.2889 0.1980213
idDistrictofColumbia -7.3503e-01 1.2855e+00 -0.5718 0.5677267
idHawaii -3.9165e-01 1.0371e+00 -0.3777 0.7058465
idIdaho 5.6317e-01 9.9191e-01 0.5678 0.5704448
idIowa 1.1884e-01 6.5365e-01 0.1818 0.8558079
idKansas -1.4155e-01 6.1736e-01 -0.2293 0.8187434
idKentucky 1.6701e-01 2.6744e-01 0.6245 0.5326035
idMaine -1.9017e-01 1.0810e+00 -0.1759 0.8604244
idMississippi 2.3277e-01 5.3001e-01 0.4392 0.6607142
idMontana -3.3037e-01 1.1455e+00 -0.2884 0.7731559
idNebraska -8.0473e-01 9.0420e-01 -0.8900 0.3738963
idNevada 8.2096e-01 7.0401e-01 1.1661 0.2441152
idNewHampshire 1.2454e+00 1.0736e+00 1.1601 0.2465730
idNewMexico 1.3470e+00 7.9948e-01 1.6848 0.0926371 .
idNorthDakota -6.6448e-01 1.2549e+00 -0.5295 0.5966711
idOklahoma 4.9203e-01 3.5257e-01 1.3955 0.1634656
idOregon 1.6998e+00 5.0809e-01 3.3454 0.0008828 ***
idRhodeIsland 6.5822e-01 1.0681e+00 0.6162 0.5380114
idSouthCarolina 1.2726e+00 2.4430e-01 5.2090 2.772e-07 ***
idSouthDakota -7.6020e-01 1.1567e+00 -0.6572 0.5113503
idUtah 8.7383e-01 6.8167e-01 1.2819 0.2004685
idVermont 2.0719e-01 1.2354e+00 0.1677 0.8668707
idWestVirginia -5.2757e-01 8.4041e-01 -0.6278 0.5304502
idWyoming -2.9890e-01 1.2721e+00 -0.2350 0.8143333
time2000 6.2978e-01 1.9843e+00 0.3174 0.7510795
time2001 6.9380e-01 2.0002e+00 0.3469 0.7288385
time2002 7.6624e-01 1.9968e+00 0.3837 0.7013412
time2003 1.0013e+00 1.9893e+00 0.5033 0.6149432
time2004 8.4056e-01 1.9919e+00 0.4220 0.6732169
time2005 1.1914e+00 2.0116e+00 0.5922 0.5539554
time2006 1.3472e+00 2.0365e+00 0.6615 0.5085814
time2007 1.6282e+00 2.0377e+00 0.7990 0.4246584
time2008 1.7426e+00 2.0737e+00 0.8403 0.4011137
time2009 1.8390e+00 2.0015e+00 0.9188 0.3586207
time2010 1.7993e+00 2.0483e+00 0.8785 0.3801083
time2011 1.9011e+00 2.0951e+00 0.9074 0.3646244
time2012 1.8946e+00 2.1289e+00 0.8900 0.3739045
time2013 1.7237e+00 2.0867e+00 0.8260 0.4091708
time2014 1.3515e+00 2.0649e+00 0.6545 0.5130940
time2015 1.0526e+00 2.0413e+00 0.5157 0.6063130
time2016 1.0417e+00 2.0559e+00 0.5067 0.6125825
time2017 9.5137e-01 2.0501e+00 0.4641 0.6428113
time2018 1.0603e+00 2.0485e+00 0.5176 0.6049569
time2019 8.1881e-01 2.0303e+00 0.4033 0.6868995
time2020 8.6865e-02 2.0530e+00 0.0423 0.9662680
iis84 -1.8689e+00 5.3606e-01 -3.4864 0.0005324 ***
fesisAlaska.2007 -1.0576e+00 2.9210e-01 -3.6207 0.0003235 ***
fesisAlaska.2014 9.3000e-01 2.8966e-01 3.2106 0.0014089 **
fesisArkansas.2009 7.3251e-01 2.3228e-01 3.1536 0.0017091 **
fesisDistrictofColumbia.2008 -1.0283e+00 3.5686e-01 -2.8814 0.0041282 **
fesisDistrictofColumbia.2011 1.5202e+00 3.4380e-01 4.4218 1.200e-05 ***
fesisMaine.2008 8.7373e-01 2.4003e-01 3.6402 0.0003006 ***
fesisMississippi.2004 -1.0941e+00 2.9238e-01 -3.7419 0.0002036 ***
fesisNebraska.2013 9.4491e-01 2.3876e-01 3.9575 8.661e-05 ***
fesisSouthCarolina.2008 1.0306e+00 2.7806e-01 3.7066 0.0002334 ***
fesisSouthDakota.2008 1.2588e+00 2.5038e-01 5.0276 6.912e-07 ***
fesisSouthDakota.2018 -1.0125e+00 3.4542e-01 -2.9311 0.0035313 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.68346 1 0.4084
Ljung-Box ARCH(1) 1.05243 1 0.3049
SE of regression 0.51025
R-squared 0.79547
Log-lik.(n=567) -391.52554 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:43:12 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 8.1058e+00 1.0102e+01 0.8024 0.4226823
gdp_sq 3.4745e-11 2.7158e-11 1.2794 0.2013598
lpop -8.0506e-01 8.9000e-01 -0.9046 0.3661279
lgdp_sq -3.5077e-01 4.8217e-01 -0.7275 0.4672624
avg_temp 9.1263e-03 2.5367e-02 0.3598 0.7191656
lfuel -3.0619e-01 5.7420e-01 -0.5333 0.5940963
idAlaska -1.0110e+00 1.7218e+00 -0.5872 0.5573462
idArkansas -5.9351e-01 4.3562e-01 -1.3624 0.1736702
idDelaware 1.3392e+00 1.2827e+00 1.0440 0.2969650
idDistrictofColumbia -9.7310e-01 1.7086e+00 -0.5695 0.5692578
idHawaii -3.0483e-01 9.8927e-01 -0.3081 0.7581020
idIdaho 6.4864e-01 1.0065e+00 0.6445 0.5195562
idIowa 3.9342e-01 5.4941e-01 0.7161 0.4742772
idKansas 1.3744e-01 4.8709e-01 0.2822 0.7779302
idKentucky 2.5535e-01 2.5404e-01 1.0052 0.3153013
idMaine -1.4970e-01 1.1277e+00 -0.1328 0.8944436
idMississippi 3.6276e-01 4.4704e-01 0.8115 0.4174840
idMontana -3.1284e-01 1.3071e+00 -0.2393 0.8109428
idNebraska -6.3322e-01 8.2708e-01 -0.7656 0.4442694
idNevada 1.0867e+00 5.8216e-01 1.8667 0.0625220 .
idNewHampshire 1.2938e+00 1.1036e+00 1.1724 0.2416052
idNewMexico 1.5101e+00 7.1282e-01 2.1185 0.0346197 *
idNorthDakota -7.7402e-01 1.5727e+00 -0.4921 0.6228303
idOklahoma 6.7838e-01 2.5856e-01 2.6237 0.0089620 **
idOregon 1.8488e+00 4.6130e-01 4.0079 7.057e-05 ***
idRhodeIsland 6.4522e-01 1.1784e+00 0.5475 0.5842581
idSouthCarolina 1.3751e+00 2.2764e-01 6.0407 2.990e-09 ***
idSouthDakota -7.8103e-01 1.4129e+00 -0.5528 0.5806682
idUtah 1.1196e+00 5.8046e-01 1.9288 0.0543235 .
idVermont 1.8766e-01 1.6217e+00 0.1157 0.9079208
idWestVirginia -4.1190e-01 7.9595e-01 -0.5175 0.6050356
idWyoming -5.4081e-01 1.7180e+00 -0.3148 0.7530534
time2000 -3.9454e+01 5.5009e+01 -0.7172 0.4735670
time2001 -3.9420e+01 5.5014e+01 -0.7166 0.4739830
time2002 -3.9349e+01 5.5013e+01 -0.7153 0.4747809
time2003 -3.9083e+01 5.5005e+01 -0.7105 0.4777036
time2004 -3.9210e+01 5.4993e+01 -0.7130 0.4761842
time2005 -3.8845e+01 5.4983e+01 -0.7065 0.4802139
time2006 -3.8693e+01 5.4978e+01 -0.7038 0.4818838
time2007 -3.8421e+01 5.4977e+01 -0.6989 0.4849602
time2008 -3.8364e+01 5.4975e+01 -0.6978 0.4856002
time2009 -3.8205e+01 5.4991e+01 -0.6947 0.4875380
time2010 -3.8263e+01 5.4986e+01 -0.6959 0.4868363
time2011 -3.8208e+01 5.4981e+01 -0.6949 0.4874163
time2012 -3.8210e+01 5.4979e+01 -0.6950 0.4873820
time2013 -3.8391e+01 5.4986e+01 -0.6982 0.4853810
time2014 -3.8741e+01 5.4985e+01 -0.7046 0.4813956
time2015 -3.8998e+01 5.4994e+01 -0.7091 0.4785751
time2016 -3.9015e+01 5.4997e+01 -0.7094 0.4784072
time2017 -3.9091e+01 5.4994e+01 -0.7108 0.4775150
time2018 -3.8987e+01 5.4988e+01 -0.7090 0.4786502
time2019 -3.9225e+01 5.4990e+01 -0.7133 0.4759843
time2020 -3.9978e+01 5.5003e+01 -0.7268 0.4676608
iis84 -1.8271e+00 5.4356e-01 -3.3613 0.0008348 ***
fesisAlaska.2007 -1.0435e+00 2.9809e-01 -3.5008 0.0005052 ***
fesisAlaska.2014 9.6249e-01 2.9078e-01 3.3101 0.0009998 ***
fesisArkansas.2009 7.4981e-01 2.3399e-01 3.2044 0.0014396 **
fesisDistrictofColumbia.2008 -9.6394e-01 3.5745e-01 -2.6967 0.0072383 **
fesisDistrictofColumbia.2011 1.6309e+00 3.5337e-01 4.6153 4.991e-06 ***
fesisMaine.2008 8.7775e-01 2.4239e-01 3.6213 0.0003229 ***
fesisMississippi.2004 -1.0735e+00 2.9584e-01 -3.6286 0.0003142 ***
fesisNebraska.2013 1.0308e+00 2.5261e-01 4.0808 5.220e-05 ***
fesisSouthCarolina.2008 9.0124e-01 2.5840e-01 3.4877 0.0005300 ***
fesisSouthDakota.2008 1.1993e+00 2.5593e-01 4.6860 3.594e-06 ***
fesisSouthDakota.2018 -1.0100e+00 3.4584e-01 -2.9205 0.0036519 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.03816 1 0.3082
Ljung-Box ARCH(1) 0.82988 1 0.3623
SE of regression 0.51009
R-squared 0.79641
Log-lik.(n=567) -390.34817 0.001
1
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:38:19 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -4.2486e-07 2.3738e-07 -1.7898 0.0741616 .
pop 9.8866e-05 2.7870e-05 3.5473 0.0004302 ***
avg_temp 7.5084e-03 1.4667e-02 0.5119 0.6089488
fuel 1.1238e-03 4.9641e-03 0.2264 0.8210022
idCalifornia 4.3347e-02 6.0361e-01 0.0718 0.9427836
idColorado 5.8121e-01 2.3237e-01 2.5012 0.0127323 *
idConnecticut 1.3327e+00 2.0098e-01 6.6309 9.623e-11 ***
idFlorida -6.7010e-01 2.9887e-01 -2.2421 0.0254446 *
idGeorgia -4.8332e-01 1.0379e-01 -4.6566 4.242e-06 ***
idIllinois 1.0338e-01 1.9845e-01 0.5209 0.6026785
idIndiana -6.7762e-01 1.5009e-01 -4.5149 8.110e-06 ***
idLouisiana -1.6063e+00 1.3381e-01 -12.0038 < 2.2e-16 ***
idMaryland -2.6411e-01 1.1402e-01 -2.3163 0.0209908 *
idMassachusetts 1.2922e+00 1.9891e-01 6.4962 2.195e-10 ***
idMichigan 4.9259e-01 2.6533e-01 1.8565 0.0640359 .
idMinnesota 4.9565e-01 2.9447e-01 1.6832 0.0930326 .
idMissouri -9.1785e-01 1.1506e-01 -7.9771 1.263e-14 ***
idNewJersey 2.6677e-01 1.4455e-01 1.8456 0.0656106 .
idNewYork 6.3842e-01 3.5333e-01 1.8068 0.0714592 .
idNorthCarolina 1.2402e-01 1.0101e-01 1.2278 0.2201496
idOhio 3.7483e-01 1.9873e-01 1.8861 0.0599295 .
idPennsylvania 3.5815e-01 2.3592e-01 1.5181 0.1296974
idTennessee -8.6978e-01 8.6042e-02 -10.1088 < 2.2e-16 ***
idTexas -5.3029e-01 3.7033e-01 -1.4319 0.1528593
idVirginia -7.6237e-02 1.1311e-01 -0.6740 0.5006605
idWashington 3.4758e-01 2.2068e-01 1.5750 0.1159509
idWisconsin 2.4392e-02 2.6236e-01 0.0930 0.9259680
time2000 1.9939e+00 9.0758e-01 2.1970 0.0285331 *
time2001 2.1036e+00 9.1555e-01 2.2976 0.0220442 *
time2002 2.2040e+00 9.1546e-01 2.4075 0.0164649 *
time2003 2.2061e+00 9.0545e-01 2.4364 0.0152217 *
time2004 2.3187e+00 9.2353e-01 2.5106 0.0124028 *
time2005 2.5194e+00 9.5296e-01 2.6437 0.0084871 **
time2006 2.6353e+00 9.7944e-01 2.6906 0.0073988 **
time2007 2.7809e+00 9.8264e-01 2.8300 0.0048636 **
time2008 2.8469e+00 1.0284e+00 2.7683 0.0058682 **
time2009 3.0655e+00 9.4353e-01 3.2490 0.0012453 **
time2010 3.0559e+00 9.9014e-01 3.0864 0.0021517 **
time2011 3.0215e+00 1.0379e+00 2.9112 0.0037800 **
time2012 2.9530e+00 1.0574e+00 2.7926 0.0054527 **
time2013 2.9267e+00 1.0252e+00 2.8548 0.0045065 **
time2014 2.6491e+00 9.9506e-01 2.6623 0.0080412 **
time2015 2.7069e+00 9.4000e-01 2.8797 0.0041719 **
time2016 2.5611e+00 9.4773e-01 2.7023 0.0071475 **
time2017 2.4832e+00 9.5690e-01 2.5950 0.0097682 **
time2018 2.5475e+00 9.6954e-01 2.6275 0.0088967 **
time2019 2.4994e+00 9.5096e-01 2.6283 0.0088754 **
time2020 1.3814e+00 9.4030e-01 1.4691 0.1425151
iis275 -1.4609e+00 2.5145e-01 -5.8100 1.187e-08 ***
iis400 -1.1285e+00 2.5141e-01 -4.4890 9.113e-06 ***
iis403 -1.1548e+00 2.5139e-01 -4.5936 5.670e-06 ***
iis443 -1.1342e+00 2.5139e-01 -4.5118 8.222e-06 ***
fesisConnecticut.2009 -5.8550e-01 1.0997e-01 -5.3244 1.605e-07 ***
fesisLouisiana.2011 -8.6269e-01 1.4485e-01 -5.9560 5.231e-09 ***
fesisLouisiana.2015 1.1012e+00 1.5877e-01 6.9360 1.417e-11 ***
fesisWisconsin.2014 4.9419e-01 1.1552e-01 4.2780 2.307e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 1.56754 1 0.2106
Ljung-Box ARCH(1) 0.22853 1 0.6326
SE of regression 0.23969
R-squared 0.94720
Log-lik.(n=504) 32.77260 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:40:57 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -7.0053e-01 4.2724e+00 -0.1640 0.8698312
gdp_sq 5.5176e-14 8.5051e-14 0.6487 0.5168423
lpop 2.4475e+00 4.6443e-01 5.2698 2.135e-07 ***
lgdp_sq -8.7399e-03 1.6512e-01 -0.0529 0.9578113
avg_temp 9.0144e-03 1.4150e-02 0.6371 0.5244205
lfuel 2.4643e-01 2.7822e-01 0.8858 0.3762287
idCalifornia -9.2077e-01 6.7387e-01 -1.3664 0.1725086
idColorado 4.9229e-01 2.7059e-01 1.8194 0.0695314 .
idConnecticut 1.8242e+00 3.0489e-01 5.9831 4.511e-09 ***
idFlorida -1.9334e+00 4.4727e-01 -4.3227 1.904e-05 ***
idGeorgia -1.3989e+00 2.4675e-01 -5.6695 2.583e-08 ***
idIllinois -8.5328e-01 3.6046e-01 -2.3672 0.0183508 *
idIndiana -1.1946e+00 2.0709e-01 -5.7684 1.502e-08 ***
idLouisiana -1.6664e+00 2.0562e-01 -8.1046 5.185e-15 ***
idMaryland -5.2852e-01 1.9298e-01 -2.7387 0.0064155 **
idMassachusetts 1.0043e+00 2.8071e-01 3.5776 0.0003849 ***
idMichigan -4.4618e-01 3.4746e-01 -1.2841 0.1997679
idMinnesota 3.4277e-01 3.2322e-01 1.0605 0.2894985
idMissouri -1.3727e+00 1.7716e-01 -7.7482 6.395e-14 ***
idNewJersey -3.6846e-01 2.7276e-01 -1.3508 0.1774337
idNewYork -4.3264e-01 5.3491e-01 -0.8088 0.4190554
idNorthCarolina -7.4107e-01 2.4032e-01 -3.0837 0.0021716 **
idOhio -6.1758e-01 3.3116e-01 -1.8649 0.0628601 .
idPennsylvania -6.5492e-01 3.7161e-01 -1.7624 0.0786907 .
idTennessee -1.4140e+00 1.6538e-01 -8.5503 < 2.2e-16 ***
idTexas -1.6927e+00 5.3087e-01 -3.1885 0.0015312 **
idVirginia -6.8962e-01 2.2879e-01 -3.0142 0.0027246 **
idWashington -2.7383e-02 2.8291e-01 -0.0968 0.9229356
idWisconsin -3.2468e-01 2.8688e-01 -1.1318 0.2583392
time2000 -9.1538e+00 2.7585e+01 -0.3318 0.7401665
time2001 -8.9725e+00 2.7597e+01 -0.3251 0.7452364
time2002 -8.8717e+00 2.7597e+01 -0.3215 0.7480044
time2003 -8.8784e+00 2.7586e+01 -0.3218 0.7477246
time2004 -8.8154e+00 2.7571e+01 -0.3197 0.7493215
time2005 -8.6670e+00 2.7556e+01 -0.3145 0.7532692
time2006 -8.5782e+00 2.7548e+01 -0.3114 0.7556505
time2007 -8.4541e+00 2.7543e+01 -0.3069 0.7590288
time2008 -8.4502e+00 2.7524e+01 -0.3070 0.7589754
time2009 -8.1806e+00 2.7552e+01 -0.2969 0.7666687
time2010 -8.2309e+00 2.7539e+01 -0.2989 0.7651700
time2011 -8.3033e+00 2.7526e+01 -0.3017 0.7630576
time2012 -8.3721e+00 2.7529e+01 -0.3041 0.7611763
time2013 -8.4000e+00 2.7525e+01 -0.3052 0.7603760
time2014 -8.6595e+00 2.7531e+01 -0.3145 0.7532614
time2015 -8.4671e+00 2.7576e+01 -0.3070 0.7589573
time2016 -8.5906e+00 2.7585e+01 -0.3114 0.7556224
time2017 -8.7139e+00 2.7571e+01 -0.3160 0.7521138
time2018 -8.6925e+00 2.7556e+01 -0.3154 0.7525698
time2019 -8.7121e+00 2.7564e+01 -0.3161 0.7520997
time2020 -9.7747e+00 2.7591e+01 -0.3543 0.7233023
iis106 1.0298e+00 2.4558e-01 4.1935 3.318e-05 ***
iis275 -1.4278e+00 2.4365e-01 -5.8601 9.028e-09 ***
iis400 -1.0280e+00 2.4484e-01 -4.1985 3.248e-05 ***
iis403 -1.1179e+00 2.4364e-01 -4.5884 5.820e-06 ***
iis443 -1.0761e+00 2.4346e-01 -4.4200 1.242e-05 ***
fesisArizona.2003 -6.5836e-01 1.6288e-01 -4.0420 6.248e-05 ***
fesisConnecticut.2009 -5.9124e-01 1.0843e-01 -5.4529 8.239e-08 ***
fesisLouisiana.2011 -8.9630e-01 1.4023e-01 -6.3916 4.159e-10 ***
fesisLouisiana.2015 1.0542e+00 1.5604e-01 6.7558 4.472e-11 ***
fesisWisconsin.2014 5.1716e-01 1.1272e-01 4.5879 5.832e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.57329 1 0.4490
Ljung-Box ARCH(1) 0.30970 1 0.5779
SE of regression 0.23169
R-squared 0.95111
Log-lik.(n=504) 51.88521 2
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:39:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp 2.3735e-06 4.2961e-06 0.5525 0.5808609
pop 3.9385e-04 3.2407e-04 1.2153 0.2248033
avg_temp 4.0831e-02 2.5436e-02 1.6053 0.1090550
fuel -2.8133e-02 9.6854e-03 -2.9047 0.0038355 **
idAlaska 1.9726e+00 1.3303e+00 1.4828 0.1387473
idArkansas 5.4891e-01 4.7204e-01 1.1628 0.2454395
idDelaware 3.8695e+00 9.8005e-01 3.9483 8.976e-05 ***
idDistrictofColumbia 2.1273e+00 1.1382e+00 1.8690 0.0621980 .
idHawaii 8.5672e-01 9.2846e-01 0.9227 0.3565854
idIdaho 2.5365e+00 9.1338e-01 2.7771 0.0056865 **
idIowa 1.6025e+00 6.0681e-01 2.6408 0.0085233 **
idKansas 1.1857e+00 5.5519e-01 2.1356 0.0331853 *
idKentucky 5.8955e-01 2.6851e-01 2.1956 0.0285698 *
idMaine 2.5823e+00 9.9141e-01 2.6047 0.0094638 **
idMississippi 9.4369e-01 4.9702e-01 1.8987 0.0581654 .
idMontana 1.9777e+00 1.0460e+00 1.8907 0.0592254 .
idNebraska 1.1621e+00 8.1320e-01 1.4290 0.1536206
idNevada 2.3893e+00 6.3826e-01 3.7434 0.0002022 ***
idNewHampshire 3.5254e+00 9.7402e-01 3.6194 0.0003246 ***
idNewMexico 2.9548e+00 7.1333e-01 4.1422 4.025e-05 ***
idNorthDakota 1.9885e+00 1.1372e+00 1.7486 0.0809557 .
idOklahoma 1.1774e+00 3.2402e-01 3.6338 0.0003075 ***
idOregon 2.7724e+00 4.9381e-01 5.6144 3.241e-08 ***
idRhodeIsland 2.7976e+00 9.5316e-01 2.9351 0.0034843 **
idSouthCarolina 1.9187e+00 1.6997e-01 11.2887 < 2.2e-16 ***
idSouthDakota 1.6700e+00 1.0407e+00 1.6047 0.1091835
idUtah 2.3116e+00 6.2973e-01 3.6708 0.0002672 ***
idVermont 2.7324e+00 1.1175e+00 2.4451 0.0148196 *
idWestVirginia 1.0866e+00 7.5781e-01 1.4338 0.1522294
idWyoming 2.3347e+00 1.1496e+00 2.0309 0.0427807 *
time2000 -2.9314e+00 1.9372e+00 -1.5132 0.1308364
time2001 -2.9935e+00 1.9488e+00 -1.5361 0.1251277
time2002 -2.9030e+00 1.9455e+00 -1.4922 0.1362626
time2003 -2.5355e+00 1.9430e+00 -1.3049 0.1925093
time2004 -2.4666e+00 1.9561e+00 -1.2610 0.2078938
time2005 -1.8111e+00 1.9904e+00 -0.9099 0.3632901
time2006 -1.4760e+00 2.0241e+00 -0.7292 0.4661975
time2007 -1.0854e+00 2.0288e+00 -0.5350 0.5929071
time2008 -3.1003e-01 2.0889e+00 -0.1484 0.8820758
time2009 -1.0605e+00 1.9811e+00 -0.5353 0.5926811
time2010 -7.5264e-01 2.0448e+00 -0.3681 0.7129676
time2011 -1.6096e-01 2.1081e+00 -0.0764 0.9391678
time2012 -2.4455e-01 2.1423e+00 -0.1142 0.9091615
time2013 -2.8964e-01 2.0999e+00 -0.1379 0.8903497
time2014 -7.7791e-01 2.0739e+00 -0.3751 0.7077471
time2015 -2.0829e+00 2.0114e+00 -1.0355 0.3009129
time2016 -2.2237e+00 2.0217e+00 -1.0999 0.2719075
time2017 -2.0736e+00 2.0254e+00 -1.0238 0.3064073
time2018 -1.6491e+00 2.0361e+00 -0.8099 0.4183471
time2019 -2.0234e+00 2.0108e+00 -1.0063 0.3147527
time2020 -3.2751e+00 2.0135e+00 -1.6266 0.1044393
iis84 -1.4924e+00 5.9386e-01 -2.5130 0.0122762 *
fesisDelaware.2014 -8.1112e-01 2.7315e-01 -2.9695 0.0031227 **
fesisMississippi.2004 -1.1370e+00 3.0775e-01 -3.6945 0.0002441 ***
fesisNebraska.2013 9.5815e-01 2.5113e-01 3.8154 0.0001526 ***
fesisSouthDakota.2008 9.7765e-01 2.5128e-01 3.8907 0.0001132 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.67971 1 0.40969
Ljung-Box ARCH(1) 3.14979 1 0.07594 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.53909
R-squared 0.76852
Log-lik.(n=567) -426.20658 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:43:16 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp 1.0612e+01 1.0063e+01 1.0545 0.2921384
gdp_sq 4.8073e-11 2.6569e-11 1.8094 0.0709825 .
lpop 1.2088e+00 8.8558e-01 1.3650 0.1728591
lgdp_sq -5.2410e-01 4.7982e-01 -1.0923 0.2752272
avg_temp 3.7076e-02 2.5656e-02 1.4451 0.1490506
lfuel -1.8438e+00 5.3818e-01 -3.4260 0.0006621 ***
idAlaska 1.8826e+00 1.7026e+00 1.1057 0.2693815
idArkansas 3.2898e-01 4.1706e-01 0.7888 0.4305871
idDelaware 3.8700e+00 1.2716e+00 3.0434 0.0024603 **
idDistrictofColumbia 2.8492e+00 1.6516e+00 1.7252 0.0851070 .
idHawaii 6.3392e-01 9.7551e-01 0.6498 0.5160895
idIdaho 2.0318e+00 9.9835e-01 2.0352 0.0423478 *
idIowa 1.4777e+00 5.4484e-01 2.7122 0.0069103 **
idKansas 1.0774e+00 4.7826e-01 2.2527 0.0247033 *
idKentucky 5.5624e-01 2.5989e-01 2.1403 0.0328057 *
idMaine 2.1044e+00 1.1215e+00 1.8764 0.0611671 .
idMississippi 6.6142e-01 4.5025e-01 1.4690 0.1424460
idMontana 1.5679e+00 1.2937e+00 1.2119 0.2261202
idNebraska 9.4219e-01 8.1082e-01 1.1620 0.2457685
idNevada 2.2110e+00 5.7335e-01 3.8563 0.0001299 ***
idNewHampshire 3.2154e+00 1.0859e+00 2.9611 0.0032085 **
idNewMexico 2.6396e+00 6.9778e-01 3.7828 0.0001735 ***
idNorthDakota 1.9255e+00 1.5494e+00 1.2427 0.2145360
idOklahoma 1.0929e+00 2.5991e-01 4.2050 3.085e-05 ***
idOregon 2.5694e+00 4.6530e-01 5.5220 5.352e-08 ***
idRhodeIsland 2.4740e+00 1.1589e+00 2.1348 0.0332559 *
idSouthCarolina 1.9043e+00 1.6835e-01 11.3115 < 2.2e-16 ***
idSouthDakota 1.4596e+00 1.3939e+00 1.0472 0.2955260
idUtah 2.1260e+00 5.7551e-01 3.6940 0.0002446 ***
idVermont 2.6248e+00 1.6027e+00 1.6378 0.1020898
idWestVirginia 6.1901e-01 7.8538e-01 0.7882 0.4309637
idWyoming 2.4236e+00 1.6931e+00 1.4314 0.1529293
time2000 -5.8582e+01 5.4849e+01 -1.0681 0.2860026
time2001 -5.8850e+01 5.4853e+01 -1.0729 0.2838403
time2002 -5.8734e+01 5.4852e+01 -1.0708 0.2847793
time2003 -5.8136e+01 5.4846e+01 -1.0600 0.2896546
time2004 -5.7783e+01 5.4836e+01 -1.0538 0.2924942
time2005 -5.6931e+01 5.4827e+01 -1.0384 0.2995846
time2006 -5.6545e+01 5.4822e+01 -1.0314 0.3028347
time2007 -5.6147e+01 5.4822e+01 -1.0242 0.3062392
time2008 -5.5508e+01 5.4822e+01 -1.0125 0.3117722
time2009 -5.6156e+01 5.4834e+01 -1.0241 0.3062683
time2010 -5.5829e+01 5.4830e+01 -1.0182 0.3090617
time2011 -5.5343e+01 5.4826e+01 -1.0094 0.3132485
time2012 -5.5411e+01 5.4825e+01 -1.0107 0.3126408
time2013 -5.5490e+01 5.4831e+01 -1.0120 0.3120116
time2014 -5.5908e+01 5.4829e+01 -1.0197 0.3083684
time2015 -5.7311e+01 5.4834e+01 -1.0452 0.2964441
time2016 -5.7543e+01 5.4837e+01 -1.0493 0.2945182
time2017 -5.7231e+01 5.4834e+01 -1.0437 0.2971140
time2018 -5.6719e+01 5.4831e+01 -1.0344 0.3014240
time2019 -5.7127e+01 5.4832e+01 -1.0418 0.2979759
time2020 -5.8658e+01 5.4842e+01 -1.0696 0.2853194
iis84 -1.6021e+00 5.9367e-01 -2.6986 0.0071954 **
fesisDelaware.2014 -9.0740e-01 2.7932e-01 -3.2486 0.0012362 **
fesisMississippi.2004 -1.1211e+00 3.0999e-01 -3.6166 0.0003283 ***
fesisNebraska.2013 1.0651e+00 2.6350e-01 4.0419 6.121e-05 ***
fesisSouthDakota.2008 9.5567e-01 2.5771e-01 3.7084 0.0002315 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.30816 1 0.5788
Ljung-Box ARCH(1) 2.19241 1 0.1387
SE of regression 0.53744
R-squared 0.77083
Log-lik.(n=567) -423.46772 Patent Count
0.01
1
Formula: patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:32:52 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -1.7919e-05 1.3149e-05 -1.3628 0.173652
pop 3.2971e-03 1.1777e-03 2.7996 0.005341 **
avg_temp 5.4786e-01 5.6774e-01 0.9650 0.335085
fuel 4.5662e-01 1.9490e-01 2.3428 0.019584 *
idCalifornia 7.0738e+00 2.2259e+01 0.3178 0.750790
idColorado 2.2931e+01 8.9489e+00 2.5624 0.010726 *
idConnecticut 3.2257e+01 7.2519e+00 4.4481 1.099e-05 ***
idFlorida -2.6803e+01 1.1265e+01 -2.3793 0.017769 *
idGeorgia -1.2664e+01 3.8570e+00 -3.2834 0.001108 **
idIllinois 2.4882e+00 7.4637e+00 0.3334 0.739007
idIndiana -5.6969e+00 5.7350e+00 -0.9933 0.321087
idLouisiana -1.5874e+01 4.8375e+00 -3.2815 0.001115 **
idMaryland -9.0876e-01 4.3553e+00 -0.2087 0.834812
idMassachusetts 5.0614e+01 7.6802e+00 6.5902 1.259e-10 ***
idMichigan 1.9888e+01 1.0202e+01 1.9494 0.051881 .
idMinnesota 1.9433e+01 1.1347e+01 1.7126 0.087488 .
idMissouri -8.4918e+00 4.3346e+00 -1.9591 0.050733 .
idNewJersey 8.2909e+00 5.5240e+00 1.5009 0.134104
idNewYork 3.9266e+01 1.3387e+01 2.9331 0.003531 **
idNorthCarolina 1.3970e+00 3.7360e+00 0.3739 0.708646
idOhio 1.2199e+01 7.5261e+00 1.6209 0.105761
idPennsylvania 1.5322e+01 8.9353e+00 1.7147 0.087097 .
idTennessee -1.0096e+01 3.1434e+00 -3.2118 0.001416 **
idTexas -1.6971e+01 1.3711e+01 -1.2377 0.216469
idVirginia -1.2006e-01 4.2672e+00 -0.0281 0.977568
idWashington 1.3350e+01 8.4879e+00 1.5728 0.116491
idWisconsin 1.1328e+01 1.0166e+01 1.1142 0.265796
time2000 -5.5081e+01 3.5211e+01 -1.5643 0.118462
time2001 -5.1288e+01 3.5486e+01 -1.4453 0.149083
time2002 -4.9665e+01 3.5495e+01 -1.3992 0.162458
time2003 -5.0849e+01 3.5132e+01 -1.4474 0.148507
time2004 -5.3106e+01 3.5911e+01 -1.4788 0.139899
time2005 -5.6431e+01 3.7136e+01 -1.5196 0.129337
time2006 -5.6849e+01 3.8244e+01 -1.4865 0.137873
time2007 -5.4888e+01 3.8381e+01 -1.4301 0.153396
time2008 -6.2737e+01 4.0274e+01 -1.5578 0.120009
time2009 -4.0209e+01 3.6759e+01 -1.0938 0.274626
time2010 -4.6508e+01 3.8703e+01 -1.2017 0.230139
time2011 -5.7533e+01 4.0645e+01 -1.4155 0.157632
time2012 -6.0812e+01 4.1388e+01 -1.4693 0.142462
time2013 -6.0997e+01 4.0121e+01 -1.5203 0.129146
time2014 -6.6143e+01 3.8846e+01 -1.7027 0.089331 .
time2015 -4.6562e+01 3.6546e+01 -1.2741 0.203316
time2016 -5.0027e+01 3.6873e+01 -1.3568 0.175552
time2017 -5.3883e+01 3.7277e+01 -1.4455 0.149031
time2018 -6.0561e+01 3.7838e+01 -1.6005 0.110197
time2019 -5.8229e+01 3.7110e+01 -1.5691 0.117345
time2020 -6.7084e+01 3.6556e+01 -1.8351 0.067163 .
iis28 1.0163e+02 1.1123e+01 9.1368 < 2.2e-16 ***
iis29 1.2829e+02 1.1142e+01 11.5144 < 2.2e-16 ***
iis30 1.7329e+02 1.1164e+01 15.5224 < 2.2e-16 ***
iis31 2.0033e+02 1.1126e+01 18.0060 < 2.2e-16 ***
iis32 1.6762e+02 1.1170e+01 15.0060 < 2.2e-16 ***
iis33 1.5520e+02 1.1460e+01 13.5428 < 2.2e-16 ***
iis34 1.4274e+02 1.1564e+01 12.3437 < 2.2e-16 ***
iis35 1.3698e+02 1.1453e+01 11.9594 < 2.2e-16 ***
iis36 8.3762e+01 1.1781e+01 7.1102 4.717e-12 ***
iis37 8.4826e+01 1.1690e+01 7.2560 1.815e-12 ***
iis38 9.1192e+01 1.1778e+01 7.7426 6.756e-14 ***
iis39 6.3423e+01 1.2239e+01 5.1819 3.353e-07 ***
iis40 6.4317e+01 1.2838e+01 5.0097 7.908e-07 ***
iis41 4.0899e+01 1.3365e+01 3.0601 0.002348 **
iis42 -7.5514e+01 1.2996e+01 -5.8105 1.197e-08 ***
fesisCalifornia.2004 4.4693e+01 7.9015e+00 5.6563 2.788e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 82.045 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 35.764 1 2.228e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 8.83501
R-squared 0.96696
Log-lik.(n=504) -1781.22116 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:35:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -1.1236e+03 1.8677e+02 -6.0157 3.790e-09 ***
gdp_sq -3.2422e-11 5.1505e-12 -6.2949 7.494e-10 ***
lpop 3.1790e+01 1.6654e+01 1.9089 0.056934 .
lgdp_sq 4.3412e+01 7.2753e+00 5.9671 4.995e-09 ***
avg_temp 4.5385e-01 5.5863e-01 0.8124 0.416985
lfuel 3.8740e+01 1.0797e+01 3.5880 0.000371 ***
idCalifornia 4.1381e+01 2.3806e+01 1.7382 0.082873 .
idColorado 2.5127e+01 9.3416e+00 2.6897 0.007424 **
idConnecticut 3.4986e+01 1.0611e+01 3.2971 0.001057 **
idFlorida -2.0716e+01 1.4604e+01 -1.4185 0.156748
idGeorgia -6.2706e+00 6.4017e+00 -0.9795 0.327863
idIllinois 2.0352e+00 1.1579e+01 0.1758 0.860552
idIndiana -4.0048e+00 5.7221e+00 -0.6999 0.484371
idLouisiana -1.0269e+01 6.7945e+00 -1.5114 0.131398
idMaryland 4.1791e+00 5.2218e+00 0.8003 0.423965
idMassachusetts 5.7382e+01 9.0629e+00 6.3315 6.032e-10 ***
idMichigan 2.4292e+01 1.1436e+01 2.1242 0.034213 *
idMinnesota 2.1792e+01 1.1500e+01 1.8950 0.058748 .
idMissouri -9.0961e+00 4.3092e+00 -2.1109 0.035351 *
idNewJersey 1.3228e+01 8.0971e+00 1.6337 0.103042
idNewYork 3.2132e+01 1.8778e+01 1.7111 0.087769 .
idNorthCarolina 7.3377e+00 6.1364e+00 1.1958 0.232440
idOhio 1.6077e+01 1.0299e+01 1.5610 0.119246
idPennsylvania 1.7700e+01 1.2105e+01 1.4622 0.144411
idTennessee -9.9649e+00 3.1112e+00 -3.2029 0.001460 **
idTexas -1.0897e+01 1.7856e+01 -0.6103 0.542010
idVirginia 6.0603e+00 6.0581e+00 1.0004 0.317685
idWashington 1.9479e+01 9.2656e+00 2.1023 0.036098 *
idWisconsin 1.0336e+01 1.0038e+01 1.0298 0.303696
time2000 6.8338e+03 1.1911e+03 5.7375 1.797e-08 ***
time2001 6.8426e+03 1.1917e+03 5.7421 1.753e-08 ***
time2002 6.8443e+03 1.1917e+03 5.7434 1.740e-08 ***
time2003 6.8384e+03 1.1911e+03 5.7411 1.762e-08 ***
time2004 6.8305e+03 1.1902e+03 5.7387 1.785e-08 ***
time2005 6.8208e+03 1.1896e+03 5.7339 1.834e-08 ***
time2006 6.8193e+03 1.1892e+03 5.7344 1.828e-08 ***
time2007 6.8209e+03 1.1889e+03 5.7372 1.800e-08 ***
time2008 6.8124e+03 1.1879e+03 5.7349 1.824e-08 ***
time2009 6.8372e+03 1.1893e+03 5.7487 1.690e-08 ***
time2010 6.8288e+03 1.1887e+03 5.7448 1.727e-08 ***
time2011 6.8175e+03 1.1880e+03 5.7384 1.788e-08 ***
time2012 6.8145e+03 1.1882e+03 5.7352 1.820e-08 ***
time2013 6.8141e+03 1.1879e+03 5.7361 1.811e-08 ***
time2014 6.8089e+03 1.1882e+03 5.7305 1.868e-08 ***
time2015 6.8373e+03 1.1905e+03 5.7434 1.740e-08 ***
time2016 6.8363e+03 1.1908e+03 5.7407 1.766e-08 ***
time2017 6.8277e+03 1.1901e+03 5.7370 1.802e-08 ***
time2018 6.8172e+03 1.1893e+03 5.7321 1.851e-08 ***
time2019 6.8214e+03 1.1897e+03 5.7338 1.834e-08 ***
time2020 6.8209e+03 1.1912e+03 5.7262 1.912e-08 ***
iis27 3.1936e+01 1.1791e+01 2.7086 0.007022 **
iis28 1.2261e+02 1.1578e+01 10.5901 < 2.2e-16 ***
iis29 1.5067e+02 1.1416e+01 13.1984 < 2.2e-16 ***
iis30 1.9688e+02 1.1342e+01 17.3589 < 2.2e-16 ***
iis31 2.2250e+02 1.1589e+01 19.1992 < 2.2e-16 ***
iis32 1.9174e+02 1.1537e+01 16.6191 < 2.2e-16 ***
iis33 1.8186e+02 1.1601e+01 15.6765 < 2.2e-16 ***
iis34 1.7263e+02 1.1459e+01 15.0649 < 2.2e-16 ***
iis35 1.7129e+02 1.1142e+01 15.3727 < 2.2e-16 ***
iis36 1.2333e+02 1.1180e+01 11.0311 < 2.2e-16 ***
iis37 1.3007e+02 1.0939e+01 11.8910 < 2.2e-16 ***
iis38 1.4384e+02 1.0956e+01 13.1294 < 2.2e-16 ***
iis39 1.2453e+02 1.1276e+01 11.0439 < 2.2e-16 ***
iis40 1.3467e+02 1.1869e+01 11.3458 < 2.2e-16 ***
iis41 1.1834e+02 1.2523e+01 9.4496 < 2.2e-16 ***
fesisCalifornia.2004 3.0481e+01 9.7986e+00 3.1107 0.001988 **
fesisLouisiana.2007 -1.2247e+01 4.3074e+00 -2.8432 0.004676 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 75.764 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 33.124 1 8.645e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 8.67602
R-squared 0.96835
Log-lik.(n=504) -1770.56899 2
Formula: patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:34:25 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -1.6410e-05 1.9644e-05 -0.8354 0.4039181
pop 5.7782e-03 1.7970e-03 3.2154 0.0013865 **
avg_temp -1.4369e-02 1.0224e-01 -0.1405 0.8882933
fuel -1.8662e-02 4.0830e-02 -0.4571 0.6478160
idAlaska 1.7719e+01 6.7241e+00 2.6352 0.0086688 **
idArkansas 8.3257e+00 2.5630e+00 3.2485 0.0012381 **
idDelaware 3.0843e+01 5.5385e+00 5.5688 4.190e-08 ***
idDistrictofColumbia 2.2724e+01 6.4179e+00 3.5408 0.0004362 ***
idHawaii 1.7427e+01 4.9684e+00 3.5076 0.0004928 ***
idIdaho 1.6790e+01 4.7667e+00 3.5224 0.0004668 ***
idIowa 9.6310e+00 3.0710e+00 3.1361 0.0018125 **
idKansas 9.7728e+00 3.0029e+00 3.2544 0.0012129 **
idKentucky 2.4168e+00 1.1733e+00 2.0599 0.0399224 *
idMaine 1.7415e+01 5.1758e+00 3.3646 0.0008252 ***
idMississippi 6.7668e+00 2.4058e+00 2.8127 0.0051057 **
idMontana 1.7235e+01 5.5371e+00 3.1126 0.0019606 **
idNebraska 1.4128e+01 4.4369e+00 3.1843 0.0015413 **
idNevada 1.7296e+01 3.6477e+00 4.7416 2.768e-06 ***
idNewHampshire 2.2963e+01 5.1833e+00 4.4302 1.157e-05 ***
idNewMexico 2.0471e+01 3.9079e+00 5.2385 2.389e-07 ***
idNorthDakota 1.8523e+01 6.0625e+00 3.0553 0.0023683 **
idOklahoma 7.6625e+00 1.6994e+00 4.5091 8.116e-06 ***
idOregon 1.6235e+01 2.2573e+00 7.1922 2.336e-12 ***
idRhodeIsland 2.0592e+01 5.2400e+00 3.9298 9.696e-05 ***
idSouthCarolina 8.5230e+00 1.1026e+00 7.7298 5.938e-14 ***
idSouthDakota 1.9720e+01 5.6936e+00 3.4635 0.0005789 ***
idUtah 1.6228e+01 3.3526e+00 4.8405 1.728e-06 ***
idVermont 2.0699e+01 5.9944e+00 3.4531 0.0006011 ***
idWestVirginia 1.2820e+01 4.1076e+00 3.1211 0.0019057 **
idWyoming 1.9941e+01 6.1860e+00 3.2236 0.0013485 **
time2000 -2.1153e+01 8.9896e+00 -2.3531 0.0190040 *
time2001 -2.1194e+01 9.0462e+00 -2.3429 0.0195256 *
time2002 -2.0766e+01 9.0426e+00 -2.2965 0.0220593 *
time2003 -2.0395e+01 9.0198e+00 -2.2611 0.0241812 *
time2004 -2.0830e+01 9.0452e+00 -2.3028 0.0216971 *
time2005 -1.9540e+01 9.1445e+00 -2.1368 0.0330949 *
time2006 -1.8744e+01 9.2569e+00 -2.0249 0.0434080 *
time2007 -1.7988e+01 9.2730e+00 -1.9398 0.0529678 .
time2008 -1.7316e+01 9.4437e+00 -1.8336 0.0673030 .
time2009 -1.7330e+01 9.1315e+00 -1.8978 0.0582913 .
time2010 -1.7104e+01 9.3344e+00 -1.8324 0.0674861 .
time2011 -1.6560e+01 9.5423e+00 -1.7354 0.0832766 .
time2012 -1.6326e+01 9.6576e+00 -1.6904 0.0915643 .
time2013 -1.7277e+01 9.5008e+00 -1.8185 0.0695797 .
time2014 -1.8905e+01 9.4143e+00 -2.0082 0.0451621 *
time2015 -1.9510e+01 9.2534e+00 -2.1084 0.0354934 *
time2016 -1.9445e+01 9.2926e+00 -2.0925 0.0368968 *
time2017 -1.9673e+01 9.2845e+00 -2.1189 0.0345883 *
time2018 -1.9403e+01 9.2972e+00 -2.0870 0.0373968 *
time2019 -2.0283e+01 9.2263e+00 -2.1984 0.0283758 *
time2020 -2.2795e+01 9.2826e+00 -2.4557 0.0143994 *
iis72 1.3689e+01 2.3393e+00 5.8519 8.788e-09 ***
iis73 8.7045e+00 2.3330e+00 3.7311 0.0002125 ***
iis74 1.5885e+01 2.3343e+00 6.8049 2.895e-11 ***
iis77 8.2957e+00 2.3380e+00 3.5481 0.0004245 ***
iis402 1.7947e+01 2.3072e+00 7.7787 4.210e-14 ***
iis403 9.5941e+00 2.3062e+00 4.1602 3.742e-05 ***
iis451 1.5568e+01 2.3719e+00 6.5635 1.315e-10 ***
iis454 1.3068e+01 2.3628e+00 5.5309 5.138e-08 ***
iis459 1.6452e+01 2.3698e+00 6.9420 1.202e-11 ***
iis460 1.6576e+01 2.3781e+00 6.9700 1.003e-11 ***
fesisDelaware.2014 -7.4488e+00 1.1273e+00 -6.6075 1.001e-10 ***
fesisNevada.2012 -5.3300e+00 1.1743e+00 -4.5389 7.088e-06 ***
fesisSouthCarolina.2008 1.3929e+01 1.3288e+00 10.4825 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.9862e+01 2.3823e+00 -8.3372 7.389e-16 ***
fesisUtah.2016 -5.6229e+00 1.2502e+00 -4.4975 8.551e-06 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 6.6745 1 0.00978 **
Ljung-Box ARCH(1) 6.9020 1 0.00861 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.18039
R-squared 0.89476
Log-lik.(n=567) -1213.51557 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.01; AR: 0
Date: Wed Mar 22 15:37:13 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -4.2627e+01 4.1358e+01 -1.0307 0.3031886
gdp_sq 2.6517e-11 1.1908e-10 0.2227 0.8238737
lpop 1.3393e+01 4.0094e+00 3.3405 0.0008989 ***
lgdp_sq 1.8391e+00 1.9788e+00 0.9294 0.3531310
avg_temp -8.7161e-03 1.0263e-01 -0.0849 0.9323499
lfuel -7.5040e-01 2.2953e+00 -0.3269 0.7438635
idAlaska 2.2712e+01 7.5831e+00 2.9951 0.0028804 **
idArkansas 6.7128e+00 1.9158e+00 3.5039 0.0004999 ***
idDelaware 3.4194e+01 5.8820e+00 5.8133 1.095e-08 ***
idDistrictofColumbia 2.8610e+01 7.5956e+00 3.7666 0.0001852 ***
idHawaii 1.7431e+01 4.3694e+00 3.9893 7.621e-05 ***
idIdaho 1.6237e+01 4.4120e+00 3.6802 0.0002585 ***
idIowa 7.0266e+00 2.3733e+00 2.9606 0.0032168 **
idKansas 7.3245e+00 2.1775e+00 3.3637 0.0008284 ***
idKentucky 1.6664e+00 1.0674e+00 1.5612 0.1191016
idMaine 1.7549e+01 4.9672e+00 3.5329 0.0004493 ***
idMississippi 5.3796e+00 1.8439e+00 2.9176 0.0036872 **
idMontana 1.8677e+01 5.7579e+00 3.2437 0.0012589 **
idNebraska 1.2734e+01 3.7010e+00 3.4406 0.0006291 ***
idNevada 1.4867e+01 2.7647e+00 5.3775 1.163e-07 ***
idNewHampshire 2.3312e+01 4.8791e+00 4.7780 2.334e-06 ***
idNewMexico 1.9037e+01 3.1758e+00 5.9945 3.921e-09 ***
idNorthDakota 2.2779e+01 6.9623e+00 3.2718 0.0011426 **
idOklahoma 5.7666e+00 1.1442e+00 5.0399 6.528e-07 ***
idOregon 1.5520e+01 1.9975e+00 7.7696 4.534e-14 ***
idRhodeIsland 2.2013e+01 5.2373e+00 4.2031 3.121e-05 ***
idSouthCarolina 7.7253e+00 9.8675e-01 7.8291 2.979e-14 ***
idSouthDakota 2.2638e+01 6.2315e+00 3.6328 0.0003094 ***
idUtah 1.4206e+01 2.6482e+00 5.3643 1.247e-07 ***
idVermont 2.4799e+01 7.1656e+00 3.4609 0.0005846 ***
idWestVirginia 1.1690e+01 3.5226e+00 3.3185 0.0009713 ***
idWyoming 2.6423e+01 7.6412e+00 3.4580 0.0005908 ***
time2000 1.3718e+02 2.2586e+02 0.6074 0.5438782
time2001 1.3709e+02 2.2587e+02 0.6069 0.5441656
time2002 1.3756e+02 2.2587e+02 0.6090 0.5427793
time2003 1.3797e+02 2.2585e+02 0.6109 0.5415594
time2004 1.3748e+02 2.2581e+02 0.6088 0.5429246
time2005 1.3869e+02 2.2579e+02 0.6143 0.5393276
time2006 1.3941e+02 2.2578e+02 0.6174 0.5372313
time2007 1.4011e+02 2.2579e+02 0.6205 0.5351957
time2008 1.4052e+02 2.2579e+02 0.6224 0.5339881
time2009 1.4089e+02 2.2583e+02 0.6239 0.5329822
time2010 1.4095e+02 2.2582e+02 0.6242 0.5327963
time2011 1.4126e+02 2.2582e+02 0.6255 0.5319046
time2012 1.4145e+02 2.2581e+02 0.6264 0.5313370
time2013 1.4047e+02 2.2582e+02 0.6220 0.5342045
time2014 1.3889e+02 2.2581e+02 0.6151 0.5387908
time2015 1.3863e+02 2.2579e+02 0.6140 0.5395165
time2016 1.3867e+02 2.2581e+02 0.6141 0.5394318
time2017 1.3840e+02 2.2580e+02 0.6129 0.5402153
time2018 1.3855e+02 2.2580e+02 0.6136 0.5397519
time2019 1.3768e+02 2.2581e+02 0.6097 0.5423270
time2020 1.3520e+02 2.2583e+02 0.5987 0.5496633
iis72 1.3322e+01 2.3182e+00 5.7469 1.586e-08 ***
iis73 8.2782e+00 2.3067e+00 3.5888 0.0003651 ***
iis74 1.5426e+01 2.3134e+00 6.6680 6.904e-11 ***
iis77 7.7379e+00 2.3268e+00 3.3255 0.0009478 ***
iis402 1.7003e+01 2.3004e+00 7.3911 6.197e-13 ***
iis403 8.5609e+00 2.3013e+00 3.7200 0.0002219 ***
iis451 1.5441e+01 2.3473e+00 6.5783 1.206e-10 ***
iis454 1.3151e+01 2.3368e+00 5.6277 3.053e-08 ***
iis459 1.6570e+01 2.3445e+00 7.0675 5.352e-12 ***
iis460 1.6779e+01 2.3562e+00 7.1211 3.764e-12 ***
fesisDelaware.2014 -8.2389e+00 1.1744e+00 -7.0153 7.525e-12 ***
fesisNevada.2012 -5.2120e+00 1.0984e+00 -4.7450 2.728e-06 ***
fesisOregon.2015 -3.8726e+00 1.2758e+00 -3.0355 0.0025271 **
fesisSouthCarolina.2008 1.4960e+01 1.1998e+00 12.4687 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.9578e+01 2.3668e+00 -8.2718 1.214e-15 ***
fesisUtah.2016 -6.2529e+00 1.2484e+00 -5.0087 7.622e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 5.1993 1 0.02260 *
Ljung-Box ARCH(1) 3.5212 1 0.06059 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.15295
R-squared 0.89801
Log-lik.(n=567) -1204.83601 0.001
1
Formula: patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:32:51 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -1.9222e-05 1.3113e-05 -1.4659 0.1434006
pop 3.3704e-03 1.1737e-03 2.8716 0.0042818 **
avg_temp 5.9297e-01 5.6597e-01 1.0477 0.2953563
fuel 4.6364e-01 1.9419e-01 2.3876 0.0173800 *
idCalifornia 7.0552e+00 2.2174e+01 0.3182 0.7505008
idColorado 2.3735e+01 8.9229e+00 2.6600 0.0081005 **
idConnecticut 3.2934e+01 7.2314e+00 4.5544 6.816e-06 ***
idFlorida -2.7477e+01 1.1226e+01 -2.4476 0.0147738 *
idGeorgia -1.2785e+01 3.8426e+00 -3.3271 0.0009514 ***
idIllinois 2.9842e+00 7.4389e+00 0.4012 0.6884975
idIndiana -5.2626e+00 5.7168e+00 -0.9206 0.3577899
idLouisiana -1.6074e+01 4.8199e+00 -3.3350 0.0009255 ***
idMaryland -5.3753e-01 4.3422e+00 -0.1238 0.9015362
idMassachusetts 5.1364e+01 7.6591e+00 6.7062 6.166e-11 ***
idMichigan 2.0563e+01 1.0168e+01 2.0223 0.0437499 *
idMinnesota 2.0423e+01 1.1313e+01 1.8052 0.0717255 .
idMissouri -8.1919e+00 4.3203e+00 -1.8961 0.0586011 .
idNewJersey 8.7787e+00 5.5078e+00 1.5939 0.1116849
idNewYork 4.0303e+01 1.3345e+01 3.0201 0.0026743 **
idNorthCarolina 1.4694e+00 3.7219e+00 0.3948 0.6931812
idOhio 1.2617e+01 7.4999e+00 1.6822 0.0932362 .
idPennsylvania 1.5864e+01 8.9048e+00 1.7815 0.0755266 .
idTennessee -9.9531e+00 3.1321e+00 -3.1778 0.0015889 **
idTexas -1.7143e+01 1.3659e+01 -1.2551 0.2101021
idVirginia 2.0722e-01 4.2537e+00 0.0487 0.9611693
idWashington 1.4120e+01 8.4634e+00 1.6684 0.0959582 .
idWisconsin 1.2164e+01 1.0135e+01 1.2002 0.2307180
time2000 -5.8171e+01 3.5107e+01 -1.6570 0.0982438 .
time2001 -5.4388e+01 3.5381e+01 -1.5372 0.1249628
time2002 -5.2763e+01 3.5390e+01 -1.4909 0.1367080
time2003 -5.3925e+01 3.5028e+01 -1.5395 0.1244103
time2004 -5.5704e+01 3.5795e+01 -1.5562 0.1203831
time2005 -6.0249e+01 3.7039e+01 -1.6266 0.1045300
time2006 -6.0202e+01 3.8131e+01 -1.5788 0.1151002
time2007 -5.8250e+01 3.8267e+01 -1.5222 0.1286783
time2008 -6.6239e+01 4.0154e+01 -1.6496 0.0997379 .
time2009 -4.3461e+01 3.6651e+01 -1.1858 0.2363450
time2010 -4.9917e+01 3.8589e+01 -1.2935 0.1965025
time2011 -6.1085e+01 4.0525e+01 -1.5073 0.1324459
time2012 -6.4423e+01 4.1266e+01 -1.5612 0.1192010
time2013 -6.4486e+01 4.0002e+01 -1.6121 0.1076662
time2014 -6.9527e+01 3.8731e+01 -1.7951 0.0733217 .
time2015 -4.9728e+01 3.6437e+01 -1.3648 0.1730282
time2016 -5.3205e+01 3.6763e+01 -1.4473 0.1485369
time2017 -5.7106e+01 3.7166e+01 -1.5365 0.1251297
time2018 -6.3831e+01 3.7726e+01 -1.6920 0.0913596 .
time2019 -6.1419e+01 3.6999e+01 -1.6600 0.0976248 .
time2020 -7.0224e+01 3.6446e+01 -1.9268 0.0546534 .
iis27 2.6696e+01 1.2742e+01 2.0952 0.0367281 *
iis28 1.1514e+02 1.2820e+01 8.9813 < 2.2e-16 ***
iis29 1.4178e+02 1.2831e+01 11.0499 < 2.2e-16 ***
iis30 1.8673e+02 1.2840e+01 14.5435 < 2.2e-16 ***
iis31 2.1366e+02 1.2780e+01 16.7184 < 2.2e-16 ***
iis32 1.8106e+02 1.2844e+01 14.0972 < 2.2e-16 ***
iis33 1.6862e+02 1.3089e+01 12.8818 < 2.2e-16 ***
iis34 1.5616e+02 1.3180e+01 11.8482 < 2.2e-16 ***
iis35 1.5036e+02 1.3076e+01 11.4990 < 2.2e-16 ***
iis36 9.7090e+01 1.3349e+01 7.2734 1.624e-12 ***
iis37 9.8394e+01 1.3325e+01 7.3841 7.775e-13 ***
iis38 1.0493e+02 1.3441e+01 7.8067 4.346e-14 ***
iis39 7.7246e+01 1.3863e+01 5.5720 4.399e-08 ***
iis40 7.8203e+01 1.4405e+01 5.4291 9.394e-08 ***
iis41 5.4929e+01 1.4903e+01 3.6857 0.0002566 ***
iis42 -6.1550e+01 1.4561e+01 -4.2270 2.882e-05 ***
fesisCalifornia.2004 3.1483e+01 1.0085e+01 3.1217 0.0019172 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 86.038 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 36.207 1 1.775e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 8.80118
R-squared 0.96728
Log-lik.(n=504) -1778.78720 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:35:47 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 504
Sample: 1 to 504
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -1.2470e+03 1.8319e+02 -6.8070 3.284e-11 ***
gdp_sq -3.7531e-11 4.8871e-12 -7.6795 1.048e-13 ***
lpop 3.5945e+01 1.6865e+01 2.1313 0.0336224 *
lgdp_sq 4.8517e+01 7.1293e+00 6.8053 3.320e-11 ***
avg_temp 2.7186e-01 5.6479e-01 0.4813 0.6305123
lfuel 3.2981e+01 1.0743e+01 3.0700 0.0022735 **
idCalifornia 2.1214e+01 2.3365e+01 0.9079 0.3644083
idColorado 2.3060e+01 9.4642e+00 2.4365 0.0152262 *
idConnecticut 3.5790e+01 1.0758e+01 3.3268 0.0009523 ***
idFlorida -3.1104e+01 1.4506e+01 -2.1442 0.0325623 *
idGeorgia -1.0345e+01 6.3514e+00 -1.6287 0.1040891
idIllinois -8.9225e+00 1.1348e+01 -0.7863 0.4321264
idIndiana -5.9631e+00 5.7833e+00 -1.0311 0.3030654
idLouisiana -1.5228e+01 6.5772e+00 -2.3153 0.0210581 *
idMaryland 2.8672e+00 5.2822e+00 0.5428 0.5875476
idMassachusetts 5.2559e+01 9.0909e+00 5.7815 1.407e-08 ***
idMichigan 1.7029e+01 1.1433e+01 1.4894 0.1370922
idMinnesota 1.8785e+01 1.1643e+01 1.6134 0.1073666
idMissouri -9.7355e+00 4.3688e+00 -2.2284 0.0263595 *
idNewJersey 6.6809e+00 7.9914e+00 0.8360 0.4036022
idNewYork 1.3978e+01 1.8390e+01 0.7601 0.4476194
idNorthCarolina 2.8357e+00 6.0683e+00 0.4673 0.6405131
idOhio 7.5681e+00 1.0175e+01 0.7438 0.4573792
idPennsylvania 7.1840e+00 1.1934e+01 0.6020 0.5475095
idTennessee -1.0450e+01 3.1546e+00 -3.3127 0.0010004 **
idTexas -2.6088e+01 1.7576e+01 -1.4843 0.1384590
idVirginia 1.7632e+00 6.0050e+00 0.2936 0.7691786
idWashington 1.4703e+01 9.3073e+00 1.5797 0.1148896
idWisconsin 7.7917e+00 1.0162e+01 0.7667 0.4436562
time2000 7.5746e+03 1.1697e+03 6.4757 2.532e-10 ***
time2001 7.5825e+03 1.1703e+03 6.4791 2.481e-10 ***
time2002 7.5841e+03 1.1703e+03 6.4804 2.462e-10 ***
time2003 7.5790e+03 1.1698e+03 6.4791 2.481e-10 ***
time2004 7.5720e+03 1.1689e+03 6.4779 2.499e-10 ***
time2005 7.5654e+03 1.1681e+03 6.4768 2.515e-10 ***
time2006 7.5640e+03 1.1677e+03 6.4775 2.505e-10 ***
time2007 7.5654e+03 1.1674e+03 6.4803 2.463e-10 ***
time2008 7.5585e+03 1.1664e+03 6.4801 2.466e-10 ***
time2009 7.5805e+03 1.1679e+03 6.4906 2.315e-10 ***
time2010 7.5736e+03 1.1673e+03 6.4884 2.344e-10 ***
time2011 7.5636e+03 1.1666e+03 6.4836 2.414e-10 ***
time2012 7.5608e+03 1.1667e+03 6.4804 2.462e-10 ***
time2013 7.5599e+03 1.1665e+03 6.4810 2.453e-10 ***
time2014 7.5539e+03 1.1667e+03 6.4743 2.554e-10 ***
time2015 7.5783e+03 1.1691e+03 6.4824 2.432e-10 ***
time2016 7.5767e+03 1.1694e+03 6.4789 2.484e-10 ***
time2017 7.5693e+03 1.1687e+03 6.4767 2.518e-10 ***
time2018 7.5601e+03 1.1679e+03 6.4734 2.568e-10 ***
time2019 7.5633e+03 1.1683e+03 6.4740 2.559e-10 ***
time2020 7.5604e+03 1.1698e+03 6.4630 2.734e-10 ***
iis28 1.0907e+02 1.0651e+01 10.2407 < 2.2e-16 ***
iis29 1.3840e+02 1.0560e+01 13.1065 < 2.2e-16 ***
iis30 1.8504e+02 1.0535e+01 17.5647 < 2.2e-16 ***
iis31 2.1008e+02 1.0687e+01 19.6580 < 2.2e-16 ***
iis32 1.7952e+02 1.0658e+01 16.8430 < 2.2e-16 ***
iis33 1.7031e+02 1.0763e+01 15.8239 < 2.2e-16 ***
iis34 1.6181e+02 1.0700e+01 15.1232 < 2.2e-16 ***
iis35 1.6141e+02 1.0524e+01 15.3378 < 2.2e-16 ***
iis36 1.1489e+02 1.0740e+01 10.6981 < 2.2e-16 ***
iis37 1.2256e+02 1.0617e+01 11.5437 < 2.2e-16 ***
iis38 1.3653e+02 1.0736e+01 12.7170 < 2.2e-16 ***
iis39 1.1927e+02 1.1226e+01 10.6242 < 2.2e-16 ***
iis40 1.3163e+02 1.1947e+01 11.0181 < 2.2e-16 ***
iis41 1.1693e+02 1.2665e+01 9.2324 < 2.2e-16 ***
fesisCalifornia.2004 4.6508e+01 8.1044e+00 5.7386 1.782e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 77.273 1 < 2.2e-16 ***
Ljung-Box ARCH(1) 34.161 1 5.073e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 8.80433
R-squared 0.96726
Log-lik.(n=504) -1778.96781 2
Formula: patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:34:27 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
gdp -2.1704e-05 2.0073e-05 -1.0812 0.2801204
pop 5.8268e-03 1.8309e-03 3.1825 0.0015504 **
avg_temp -3.8913e-02 1.0403e-01 -0.3741 0.7085161
fuel -2.4757e-02 4.1730e-02 -0.5933 0.5532618
idAlaska 1.6329e+01 6.8955e+00 2.3681 0.0182551 *
idArkansas 7.9385e+00 2.6358e+00 3.0118 0.0027281 **
idDelaware 3.0044e+01 5.6972e+00 5.2735 1.992e-07 ***
idDistrictofColumbia 2.2337e+01 6.5624e+00 3.4037 0.0007178 ***
idHawaii 1.7323e+01 5.0889e+00 3.4041 0.0007168 ***
idIdaho 1.5769e+01 4.9013e+00 3.2172 0.0013777 **
idIowa 9.1527e+00 3.1411e+00 2.9139 0.0037283 **
idKansas 9.3949e+00 3.0755e+00 3.0547 0.0023720 **
idKentucky 2.1914e+00 1.1977e+00 1.8296 0.0679065 .
idMaine 1.6343e+01 5.3181e+00 3.0730 0.0022339 **
idMississippi 6.4081e+00 2.4784e+00 2.5856 0.0100010 *
idMontana 1.6107e+01 5.6928e+00 2.8294 0.0048502 **
idNebraska 1.3456e+01 4.5498e+00 2.9575 0.0032470 **
idNevada 1.6795e+01 3.7361e+00 4.4952 8.635e-06 ***
idNewHampshire 2.2017e+01 5.3213e+00 4.1375 4.116e-05 ***
idNewMexico 1.9858e+01 4.0137e+00 4.9476 1.026e-06 ***
idNorthDakota 1.7392e+01 6.2259e+00 2.7935 0.0054126 **
idOklahoma 7.5167e+00 1.7374e+00 4.3264 1.829e-05 ***
idOregon 1.4110e+01 2.8874e+00 4.8867 1.381e-06 ***
idRhodeIsland 1.9732e+01 5.3844e+00 3.6646 0.0002740 ***
idSouthCarolina 8.4416e+00 1.1253e+00 7.5019 2.872e-13 ***
idSouthDakota 1.8692e+01 5.8504e+00 3.1950 0.0014858 **
idUtah 1.5605e+01 3.4397e+00 4.5368 7.149e-06 ***
idVermont 1.9551e+01 6.1615e+00 3.1731 0.0016003 **
idWestVirginia 1.2062e+01 4.2255e+00 2.8545 0.0044882 **
idWyoming 1.8810e+01 6.3549e+00 2.9599 0.0032229 **
time2000 -1.8684e+01 9.2310e+00 -2.0240 0.0434959 *
time2001 -1.8735e+01 9.2862e+00 -2.0175 0.0441744 *
time2002 -1.8207e+01 9.2732e+00 -1.9634 0.0501558 .
time2003 -1.8109e+01 9.2585e+00 -1.9560 0.0510235 .
time2004 -1.8321e+01 9.2865e+00 -1.9729 0.0490562 *
time2005 -1.6918e+01 9.3953e+00 -1.8007 0.0723488 .
time2006 -1.6039e+01 9.5148e+00 -1.6857 0.0924742 .
time2007 -1.5252e+01 9.5351e+00 -1.5995 0.1103294
time2008 -1.4421e+01 9.7241e+00 -1.4830 0.1386974
time2009 -1.4873e+01 9.3834e+00 -1.5850 0.1135905
time2010 -1.4238e+01 9.5987e+00 -1.4833 0.1386256
time2011 -1.3797e+01 9.8204e+00 -1.4050 0.1606471
time2012 -1.3522e+01 9.9366e+00 -1.3608 0.1741844
time2013 -1.4210e+01 9.7803e+00 -1.4529 0.1468630
time2014 -1.6065e+01 9.6901e+00 -1.6578 0.0979719 .
time2015 -1.6879e+01 9.5051e+00 -1.7757 0.0763809 .
time2016 -1.6827e+01 9.5422e+00 -1.7634 0.0784352 .
time2017 -1.7004e+01 9.5396e+00 -1.7824 0.0752817 .
time2018 -1.6656e+01 9.5608e+00 -1.7421 0.0821096 .
time2019 -1.7580e+01 9.4864e+00 -1.8532 0.0644427 .
time2020 -2.0193e+01 9.5324e+00 -2.1183 0.0346382 *
iis451 1.5723e+01 2.4104e+00 6.5229 1.683e-10 ***
iis454 1.3172e+01 2.4024e+00 5.4827 6.639e-08 ***
iis459 1.6539e+01 2.4099e+00 6.8630 1.991e-11 ***
iis460 1.6675e+01 2.4186e+00 6.8944 1.627e-11 ***
fesisDelaware.2008 1.2929e+01 1.5374e+00 8.4095 4.275e-16 ***
fesisDelaware.2011 -9.5937e+00 1.8466e+00 -5.1953 2.975e-07 ***
fesisDelaware.2014 -1.0689e+01 1.5673e+00 -6.8202 2.616e-11 ***
fesisNevada.2012 -5.3037e+00 1.1966e+00 -4.4322 1.146e-05 ***
fesisOregon.2002 1.5378e+01 2.2621e+00 6.7980 3.013e-11 ***
fesisOregon.2004 -1.3445e+01 1.7359e+00 -7.7456 5.284e-14 ***
fesisSouthCarolina.2008 1.3953e+01 1.3540e+00 10.3051 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.9780e+01 2.4227e+00 -8.1644 2.618e-15 ***
fesisUtah.2016 -5.4592e+00 1.2781e+00 -4.2713 2.324e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 4.8354 1 0.02788 *
Ljung-Box ARCH(1) 6.2818 1 0.01220 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.21682
R-squared 0.89078
Log-lik.(n=567) -1223.91187 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.001; AR: 0
Date: Wed Mar 22 15:37:16 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 567
Sample: 1 to 567
SPECIFIC mean equation:
coef std.error t-stat p-value
lgdp -6.0936e+01 4.1287e+01 -1.4759 0.140595
gdp_sq -1.3018e-10 1.1508e-10 -1.1312 0.258501
lpop 4.0346e+00 3.9027e+00 1.0338 0.301730
lgdp_sq 2.7841e+00 1.9731e+00 1.4110 0.158861
avg_temp -6.5131e-02 1.0839e-01 -0.6009 0.548171
lfuel -3.2914e+00 2.4481e+00 -1.3445 0.179393
idAlaska 2.1068e+00 7.4092e+00 0.2844 0.776256
idArkansas 6.0487e-01 1.8150e+00 0.3333 0.739083
idDelaware 1.6923e+01 5.6734e+00 2.9828 0.002995 **
idDistrictofColumbia 7.8141e+00 7.2993e+00 1.0705 0.284892
idHawaii 5.3596e+00 4.2061e+00 1.2743 0.203161
idIdaho 3.6958e+00 4.2897e+00 0.8616 0.389345
idIowa 1.1542e+00 2.3685e+00 0.4873 0.626254
idKansas 8.8439e-01 2.1032e+00 0.4205 0.674295
idKentucky -1.3127e-02 1.1075e+00 -0.0119 0.990547
idMaine 3.6206e+00 4.8348e+00 0.7489 0.454286
idMississippi -3.4475e-01 1.7474e+00 -0.1973 0.843682
idMontana 2.3525e+00 5.5814e+00 0.4215 0.673577
idNebraska 1.6826e+00 3.5630e+00 0.4722 0.636960
idNevada 5.1366e+00 2.5108e+00 2.0458 0.041293 *
idNewHampshire 9.1658e+00 4.7183e+00 1.9426 0.052620 .
idNewMexico 9.2959e+00 3.0365e+00 3.0614 0.002321 **
idNorthDakota 3.1498e+00 6.7407e+00 0.4673 0.640497
idOklahoma 2.8276e+00 1.1297e+00 2.5030 0.012632 *
idOregon 8.0253e+00 2.5902e+00 3.0983 0.002055 **
idRhodeIsland 6.6049e+00 5.0248e+00 1.3145 0.189287
idSouthCarolina 6.2763e+00 1.0202e+00 6.1522 1.560e-09 ***
idSouthDakota 4.8469e+00 6.0157e+00 0.8057 0.420795
idUtah 5.4572e+00 2.5003e+00 2.1826 0.029527 *
idVermont 4.6718e+00 6.9431e+00 0.6729 0.501337
idWestVirginia 1.0885e+00 3.3795e+00 0.3221 0.747515
idWyoming 4.6961e+00 7.3715e+00 0.6371 0.524373
time2000 3.1637e+02 2.2537e+02 1.4038 0.161001
time2001 3.1590e+02 2.2540e+02 1.4015 0.161676
time2002 3.1651e+02 2.2540e+02 1.4043 0.160859
time2003 3.1716e+02 2.2535e+02 1.4074 0.159925
time2004 3.1765e+02 2.2528e+02 1.4100 0.159151
time2005 3.1980e+02 2.2523e+02 1.4199 0.156260
time2006 3.2106e+02 2.2520e+02 1.4257 0.154581
time2007 3.2208e+02 2.2519e+02 1.4302 0.153267
time2008 3.2335e+02 2.2516e+02 1.4361 0.151602
time2009 3.2227e+02 2.2525e+02 1.4307 0.153137
time2010 3.2341e+02 2.2521e+02 1.4360 0.151627
time2011 3.2418e+02 2.2519e+02 1.4396 0.150602
time2012 3.2434e+02 2.2519e+02 1.4403 0.150402
time2013 3.2364e+02 2.2519e+02 1.4372 0.151295
time2014 3.2170e+02 2.2519e+02 1.4286 0.153746
time2015 3.1967e+02 2.2527e+02 1.4191 0.156495
time2016 3.1930e+02 2.2529e+02 1.4173 0.157016
time2017 3.1966e+02 2.2526e+02 1.4191 0.156499
time2018 3.2052e+02 2.2522e+02 1.4231 0.155325
time2019 3.1942e+02 2.2525e+02 1.4181 0.156780
time2020 3.1590e+02 2.2532e+02 1.4020 0.161523
iis451 1.4861e+01 2.4767e+00 6.0004 3.767e-09 ***
iis454 1.2880e+01 2.4696e+00 5.2156 2.682e-07 ***
iis459 1.7627e+01 2.4731e+00 7.1276 3.565e-12 ***
iis460 1.8103e+01 2.4817e+00 7.2948 1.172e-12 ***
fesisDelaware.2008 1.2647e+01 1.5957e+00 7.9256 1.473e-14 ***
fesisDelaware.2011 -9.6037e+00 1.8966e+00 -5.0635 5.785e-07 ***
fesisDelaware.2014 -1.0707e+01 1.6180e+00 -6.6170 9.403e-11 ***
fesisOregon.2002 1.5654e+01 2.3238e+00 6.7364 4.453e-11 ***
fesisOregon.2004 -1.2088e+01 1.8163e+00 -6.6554 7.402e-11 ***
fesisSouthCarolina.2008 1.6239e+01 1.2513e+00 12.9776 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.8516e+01 2.4935e+00 -7.4258 4.830e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 9.4265 1 0.002139 **
Ljung-Box ARCH(1) 3.8233 1 0.050544 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.27739
R-squared 0.88473
Log-lik.(n=567) -1239.19585 AR1
Ihs Patent Count
0.01
1
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:38:10 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 3.6552e-02 4.0202e-02 0.9092 0.3637640
gdp -6.1261e-05 5.9334e-06 -10.3246 < 2.2e-16 ***
pop 3.7213e-03 4.4741e-04 8.3175 1.252e-15 ***
avg_temp -7.7980e-02 2.1871e-02 -3.5655 0.0004047 ***
fuel 1.5677e-02 3.4902e-03 4.4918 9.130e-06 ***
idCalifornia 2.1940e+00 1.1665e-01 18.8082 < 2.2e-16 ***
idColorado 3.0789e-01 7.1575e-02 4.3017 2.108e-05 ***
idConnecticut 9.6050e-01 1.0271e-01 9.3514 < 2.2e-16 ***
idFlorida 3.9872e-01 7.2325e-02 5.5128 6.161e-08 ***
idGeorgia -3.1530e-01 7.1576e-02 -4.4051 1.342e-05 ***
idIllinois 4.1477e-01 7.2770e-02 5.6997 2.257e-08 ***
idIndiana -7.2865e-01 7.6121e-02 -9.5723 < 2.2e-16 ***
idLouisiana -1.3307e+00 1.4015e-01 -9.4946 < 2.2e-16 ***
idMaryland -3.9680e-01 7.1986e-02 -5.5122 6.182e-08 ***
idMassachusetts 1.0787e+00 8.4405e-02 12.7800 < 2.2e-16 ***
idMichigan 6.2148e-01 7.5639e-02 8.2164 2.597e-15 ***
idMinnesota 5.2002e-01 1.0627e-01 4.8934 1.413e-06 ***
idMissouri -9.8747e-01 8.3572e-02 -11.8158 < 2.2e-16 ***
idNewJersey 2.9145e-01 7.1614e-02 4.0697 5.619e-05 ***
idNewYork 1.7335e+00 1.4337e-01 12.0915 < 2.2e-16 ***
idNorthCarolina 3.0131e-01 7.1611e-02 4.2077 3.154e-05 ***
idOhio 6.2788e-01 7.6103e-02 8.2505 2.032e-15 ***
idPennsylvania 6.8895e-01 7.6824e-02 8.9678 < 2.2e-16 ***
idTennessee -8.9229e-01 8.1324e-02 -10.9720 < 2.2e-16 ***
idTexas 8.3450e-01 7.9180e-02 10.5392 < 2.2e-16 ***
idVirginia -3.4604e-02 7.1214e-02 -0.4859 0.6272762
idWashington 1.9471e-01 7.0831e-02 2.7489 0.0062363 **
idWisconsin -1.7456e-01 7.9523e-02 -2.1951 0.0287002 *
time2001 9.0008e-01 2.3059e-01 3.9033 0.0001104 ***
time2002 9.3533e-01 2.1533e-01 4.3438 1.756e-05 ***
time2003 1.3372e+00 2.4052e-01 5.5594 4.808e-08 ***
time2004 1.2840e+00 2.1320e-01 6.0225 3.741e-09 ***
time2005 1.7754e+00 2.6530e-01 6.6919 7.026e-11 ***
time2006 1.7833e+00 2.7155e-01 6.5673 1.510e-10 ***
time2007 1.9148e+00 2.9000e-01 6.6027 1.216e-10 ***
time2008 9.5528e-01 2.9171e-01 3.2748 0.0011446 **
time2009 6.8274e-02 1.1315e-01 0.6034 0.5465893
time2010 -3.2196e-01 1.2486e-01 -2.5785 0.0102602 *
time2011 -6.8653e-01 1.9011e-01 -3.6112 0.0003414 ***
time2012 -5.6564e-01 2.1360e-01 -2.6481 0.0083983 **
time2013 -8.7186e-01 1.6161e-01 -5.3948 1.145e-07 ***
time2014 -1.0157e+00 1.4336e-01 -7.0852 5.858e-12 ***
time2015 -3.1521e-01 1.1010e-01 -2.8630 0.0044051 **
time2016 -1.8696e-01 1.1919e-01 -1.5685 0.1175106
iis3 -7.1654e-01 2.3050e-01 -3.1086 0.0020071 **
iis111 7.1142e-01 2.3040e-01 3.0877 0.0021501 **
iis161 -1.2306e+00 2.5094e-01 -4.9042 1.341e-06 ***
iis179 7.5313e-01 2.4520e-01 3.0715 0.0022677 **
iis261 -1.4446e+00 2.3024e-01 -6.2742 8.721e-10 ***
iis383 -1.1331e+00 2.3003e-01 -4.9260 1.207e-06 ***
iis421 -1.1539e+00 2.3031e-01 -5.0102 8.011e-07 ***
fesisConnecticut.2009 -6.3462e-01 1.0575e-01 -6.0011 4.224e-09 ***
fesisLouisiana.2006 -4.6196e-01 1.5032e-01 -3.0732 0.0022549 **
fesisLouisiana.2011 -7.4516e-01 1.5367e-01 -4.8491 1.747e-06 ***
fesisLouisiana.2015 9.3286e-01 1.5399e-01 6.0578 3.057e-09 ***
fesisMinnesota.2007 -4.5404e-01 1.1053e-01 -4.1079 4.796e-05 ***
fesisNewYork.2005 -5.4481e-01 1.2737e-01 -4.2776 2.340e-05 ***
fesisWisconsin.2014 4.1829e-01 1.0593e-01 3.9488 9.200e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.27028 1 0.6031
Ljung-Box ARCH(1) 2.57723 1 0.1084
SE of regression 0.21911
R-squared 0.95549
Log-lik.(n=480) 76.64153 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:40:46 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 3.6552e-02 4.0202e-02 0.9092 0.3637640
lgdp -1.3227e+02 3.4686e+02 -0.3813 0.7031445
gdp_sq -1.1032e-09 3.9746e-09 -0.2776 0.7814879
lpop -4.2989e+01 3.0345e+02 -0.1417 0.8874108
lgdp_sq 1.3722e+01 4.7439e+01 0.2892 0.7725323
avg_temp -5.3993e-01 2.0354e+00 -0.2653 0.7909299
lfuel 8.3538e-01 3.7723e-01 2.2145 0.0273259 *
idCalifornia 2.1940e+00 1.1665e-01 18.8082 < 2.2e-16 ***
idColorado 3.0789e-01 7.1575e-02 4.3017 2.108e-05 ***
idConnecticut 9.6050e-01 1.0271e-01 9.3514 < 2.2e-16 ***
idFlorida 3.9872e-01 7.2325e-02 5.5128 6.161e-08 ***
idGeorgia -3.1530e-01 7.1576e-02 -4.4051 1.342e-05 ***
idIllinois 4.1477e-01 7.2770e-02 5.6997 2.257e-08 ***
idIndiana -7.2865e-01 7.6121e-02 -9.5723 < 2.2e-16 ***
idLouisiana -1.3307e+00 1.4015e-01 -9.4946 < 2.2e-16 ***
idMaryland -3.9680e-01 7.1986e-02 -5.5122 6.182e-08 ***
idMassachusetts 1.0787e+00 8.4405e-02 12.7800 < 2.2e-16 ***
idMichigan 6.2148e-01 7.5639e-02 8.2164 2.597e-15 ***
idMinnesota 5.2002e-01 1.0627e-01 4.8934 1.413e-06 ***
idMissouri -9.8747e-01 8.3572e-02 -11.8158 < 2.2e-16 ***
idNewJersey 2.9145e-01 7.1614e-02 4.0697 5.619e-05 ***
idNewYork 1.7335e+00 1.4337e-01 12.0915 < 2.2e-16 ***
idNorthCarolina 3.0131e-01 7.1611e-02 4.2077 3.154e-05 ***
idOhio 6.2788e-01 7.6103e-02 8.2505 2.032e-15 ***
idPennsylvania 6.8895e-01 7.6824e-02 8.9678 < 2.2e-16 ***
idTennessee -8.9229e-01 8.1324e-02 -10.9720 < 2.2e-16 ***
idTexas 8.3450e-01 7.9180e-02 10.5392 < 2.2e-16 ***
idVirginia -3.4604e-02 7.1214e-02 -0.4859 0.6272762
idWashington 1.9471e-01 7.0831e-02 2.7489 0.0062363 **
idWisconsin -1.7456e-01 7.9523e-02 -2.1951 0.0287002 *
time2001 9.3119e+00 1.7847e+01 0.5218 0.6021148
time2002 6.7882e+00 9.3867e+00 0.7232 0.4699761
time2003 2.4990e+00 7.2622e+00 0.3441 0.7309332
time2004 -8.5531e-01 1.8682e+01 -0.0458 0.9635058
time2005 -3.9291e+00 3.0517e+01 -0.1288 0.8976165
time2006 -4.8665e+00 3.2675e+01 -0.1489 0.8816755
time2007 -4.8650e+00 3.2116e+01 -0.1515 0.8796694
time2008 -4.5063e+00 2.6981e+01 -0.1670 0.8674356
time2009 1.2187e+00 3.2439e-01 3.7570 0.0001962 ***
time2010 3.7814e-01 1.6828e+00 0.2247 0.8223148
time2011 -8.0299e-01 5.1813e+00 -0.1550 0.8769125
time2012 -3.3576e-01 2.9236e+00 -0.1148 0.9086232
time2013 -1.1152e+00 4.6123e+00 -0.2418 0.8090577
time2014 -2.7016e-01 5.4956e-01 -0.4916 0.6232581
iis3 -7.1654e-01 2.3050e-01 -3.1086 0.0020071 **
iis111 7.1142e-01 2.3040e-01 3.0877 0.0021501 **
iis161 -1.2306e+00 2.5094e-01 -4.9042 1.341e-06 ***
iis179 7.5313e-01 2.4520e-01 3.0715 0.0022677 **
iis261 -1.4446e+00 2.3024e-01 -6.2742 8.721e-10 ***
iis383 -1.1331e+00 2.3003e-01 -4.9260 1.207e-06 ***
iis421 -1.1539e+00 2.3031e-01 -5.0102 8.011e-07 ***
fesisConnecticut.2009 -6.3462e-01 1.0575e-01 -6.0011 4.224e-09 ***
fesisLouisiana.2006 -4.6196e-01 1.5032e-01 -3.0732 0.0022549 **
fesisLouisiana.2011 -7.4516e-01 1.5367e-01 -4.8491 1.747e-06 ***
fesisLouisiana.2015 9.3286e-01 1.5399e-01 6.0578 3.057e-09 ***
fesisMinnesota.2007 -4.5404e-01 1.1053e-01 -4.1079 4.796e-05 ***
fesisNewYork.2005 -5.4481e-01 1.2737e-01 -4.2776 2.340e-05 ***
fesisWisconsin.2014 4.1829e-01 1.0593e-01 3.9488 9.200e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.27028 1 0.6031
Ljung-Box ARCH(1) 2.57723 1 0.1084
SE of regression 0.21911
R-squared 0.95549
Log-lik.(n=480) 76.64153 2
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:39:26 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 2.5001e-02 4.3906e-02 0.5694 0.5693388
gdp -1.0079e-04 3.6463e-05 -2.7643 0.0059238 **
pop -4.7065e-04 1.4093e-03 -0.3340 0.7385579
avg_temp 3.3050e-01 9.2718e-02 3.5646 0.0004007 ***
fuel 4.5209e-02 1.1277e-02 4.0089 7.067e-05 ***
idAlaska -1.2917e+00 1.7407e-01 -7.4207 5.304e-13 ***
idArkansas -4.2125e-01 1.6438e-01 -2.5626 0.0106926 *
idDelaware 1.7990e+00 1.9991e-01 8.9990 < 2.2e-16 ***
idDistrictofColumbia -7.9702e-02 2.0164e-01 -0.3953 0.6928147
idHawaii 1.9604e-01 1.7028e-01 1.1513 0.2501954
idIdaho 3.4365e-01 1.6338e-01 2.1034 0.0359479 *
idIowa 3.3045e-01 1.6330e-01 2.0236 0.0435606 *
idKansas 4.0258e-02 1.6286e-01 0.2472 0.8048657
idKentucky 1.6421e-01 1.6298e-01 1.0075 0.3141804
idMaine 1.8270e-01 1.6288e-01 1.1217 0.2625603
idMississippi 4.5951e-01 3.2358e-01 1.4201 0.1562271
idMontana -5.5408e-01 1.6503e-01 -3.3575 0.0008487 ***
idNebraska -6.6277e-01 1.9204e-01 -3.4512 0.0006073 ***
idNevada 9.4008e-01 1.6776e-01 5.6039 3.531e-08 ***
idNewHampshire 1.1187e+00 1.7057e-01 6.5586 1.402e-10 ***
idNewMexico 1.2543e+00 1.7189e-01 7.2972 1.219e-12 ***
idNorthDakota -7.5281e-01 1.6733e-01 -4.4989 8.571e-06 ***
idOklahoma 7.0361e-01 1.6521e-01 4.2588 2.472e-05 ***
idOregon 1.7558e+00 1.8024e-01 9.7415 < 2.2e-16 ***
idRhodeIsland 5.6118e-01 1.6491e-01 3.4030 0.0007220 ***
idSouthCarolina 1.3448e+00 2.3570e-01 5.7056 2.026e-08 ***
idSouthDakota -7.8761e-01 2.3186e-01 -3.3969 0.0007379 ***
idUtah 9.3983e-01 1.6794e-01 5.5961 3.683e-08 ***
idVermont -2.4636e-03 1.6286e-01 -0.0151 0.9879370
idWestVirginia -7.0511e-01 1.6626e-01 -4.2409 2.669e-05 ***
idWyoming -4.1449e-01 1.6417e-01 -2.5248 0.0118972 *
time2001 -2.9029e+00 9.9565e-01 -2.9156 0.0037157 **
time2002 -2.6694e+00 9.3381e-01 -2.8587 0.0044386 **
time2003 -1.9077e+00 7.4662e-01 -2.5551 0.0109226 *
time2004 -1.5302e+00 4.9655e-01 -3.0816 0.0021766 **
time2005 -1.0715e+00 3.3725e-01 -3.1771 0.0015832 **
time2006 -1.3226e+00 3.5297e-01 -3.7470 0.0002006 ***
time2007 -1.2987e+00 3.6449e-01 -3.5630 0.0004031 ***
time2008 -2.3218e+00 7.0397e-01 -3.2981 0.0010453 **
time2009 -8.6714e-01 5.5511e-01 -1.5621 0.1189217
time2010 -1.3626e+00 6.2650e-01 -2.1750 0.0301163 *
time2011 -2.2800e+00 7.6969e-01 -2.9622 0.0032053 **
time2012 -2.4363e+00 7.4097e-01 -3.2880 0.0010827 **
time2013 -1.7279e+00 7.0336e-01 -2.4566 0.0143774 *
time2014 -1.4892e+00 6.6975e-01 -2.2235 0.0266426 *
time2015 -1.9724e-01 2.4353e-01 -0.8099 0.4183790
time2016 1.3408e-01 2.1282e-01 0.6300 0.5289888
iis88 -1.4643e+00 5.5253e-01 -2.6503 0.0083074 **
iis115 -1.6315e+00 5.4020e-01 -3.0201 0.0026608 **
iis117 -1.5429e+00 5.4279e-01 -2.8425 0.0046663 **
iis118 -1.7809e+00 5.4301e-01 -3.2798 0.0011142 **
fesisDelaware.2014 -9.7180e-01 2.4797e-01 -3.9190 0.0001018 ***
fesisDistrictofColumbia.2012 6.6649e-01 2.4542e-01 2.7157 0.0068501 **
fesisMississippi.2004 -1.5126e+00 3.3215e-01 -4.5539 6.678e-06 ***
fesisNebraska.2013 9.1676e-01 2.4360e-01 3.7633 0.0001884 ***
fesisSouthCarolina.2008 8.7533e-01 2.4970e-01 3.5055 0.0004983 ***
fesisSouthDakota.2008 1.1357e+00 2.6300e-01 4.3181 1.912e-05 ***
fesisSouthDakota.2018 -1.1136e+00 3.4615e-01 -3.2169 0.0013828 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00035201 1 0.9850
Ljung-Box ARCH(1) 1.86833616 1 0.1717
SE of regression 0.51499
R-squared 0.78884
Log-lik.(n=540) -378.88032 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:42:40 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 2.5001e-02 4.3906e-02 0.5694 0.5693388
lgdp 1.1802e+02 2.2826e+02 0.5171 0.6053439
gdp_sq 6.6984e-10 2.7789e-09 0.2410 0.8096200
lpop -5.8414e+01 3.7001e+01 -1.5787 0.1150606
lgdp_sq -6.1927e+00 1.7363e+01 -0.3567 0.7215050
avg_temp -6.1086e-01 7.4283e-01 -0.8223 0.4112924
lfuel -1.8445e+00 2.6657e+00 -0.6919 0.4893149
idAlaska -1.2917e+00 1.7407e-01 -7.4207 5.304e-13 ***
idArkansas -4.2125e-01 1.6438e-01 -2.5626 0.0106926 *
idDelaware 1.7990e+00 1.9991e-01 8.9990 < 2.2e-16 ***
idDistrictofColumbia -7.9702e-02 2.0164e-01 -0.3953 0.6928147
idHawaii 1.9604e-01 1.7028e-01 1.1513 0.2501954
idIdaho 3.4365e-01 1.6338e-01 2.1034 0.0359479 *
idIowa 3.3045e-01 1.6330e-01 2.0236 0.0435606 *
idKansas 4.0258e-02 1.6286e-01 0.2472 0.8048657
idKentucky 1.6421e-01 1.6298e-01 1.0075 0.3141804
idMaine 1.8270e-01 1.6288e-01 1.1217 0.2625603
idMississippi 4.5951e-01 3.2358e-01 1.4201 0.1562271
idMontana -5.5408e-01 1.6503e-01 -3.3575 0.0008487 ***
idNebraska -6.6277e-01 1.9204e-01 -3.4512 0.0006073 ***
idNevada 9.4008e-01 1.6776e-01 5.6039 3.531e-08 ***
idNewHampshire 1.1187e+00 1.7057e-01 6.5586 1.402e-10 ***
idNewMexico 1.2543e+00 1.7189e-01 7.2972 1.219e-12 ***
idNorthDakota -7.5281e-01 1.6733e-01 -4.4989 8.571e-06 ***
idOklahoma 7.0361e-01 1.6521e-01 4.2588 2.472e-05 ***
idOregon 1.7558e+00 1.8024e-01 9.7415 < 2.2e-16 ***
idRhodeIsland 5.6118e-01 1.6491e-01 3.4030 0.0007220 ***
idSouthCarolina 1.3448e+00 2.3570e-01 5.7056 2.026e-08 ***
idSouthDakota -7.8761e-01 2.3186e-01 -3.3969 0.0007379 ***
idUtah 9.3983e-01 1.6794e-01 5.5961 3.683e-08 ***
idVermont -2.4636e-03 1.6286e-01 -0.0151 0.9879370
idWestVirginia -7.0511e-01 1.6626e-01 -4.2409 2.669e-05 ***
idWyoming -4.1449e-01 1.6417e-01 -2.5248 0.0118972 *
time2001 -5.8300e+00 9.6287e+00 -0.6055 0.5451469
time2002 -5.2794e+00 8.0654e+00 -0.6546 0.5130576
time2003 -5.0775e+00 6.8408e+00 -0.7422 0.4583036
time2004 -4.5413e+00 3.8448e+00 -1.1811 0.2381281
time2005 -3.6215e+00 2.4348e+00 -1.4874 0.1375707
time2006 -2.1678e+00 1.0274e+00 -2.1101 0.0353643 *
time2007 -1.2299e+00 3.8044e-01 -3.2328 0.0013098 **
time2008 -7.7510e-01 4.0395e-01 -1.9188 0.0555992 .
time2009 -5.4100e-01 1.2705e+00 -0.4258 0.6704455
time2010 -2.0572e-01 5.6336e-01 -0.3652 0.7151458
time2011 9.0931e-01 1.2942e+00 0.7026 0.4826373
time2012 1.6461e+00 2.0904e+00 0.7875 0.4313795
time2013 6.2750e-02 5.1717e-01 0.1213 0.9034768
time2014 -4.4123e-01 4.2271e-01 -1.0438 0.2971031
iis88 -1.4643e+00 5.5253e-01 -2.6503 0.0083074 **
iis115 -1.6315e+00 5.4020e-01 -3.0201 0.0026608 **
iis117 -1.5429e+00 5.4279e-01 -2.8425 0.0046663 **
iis118 -1.7809e+00 5.4301e-01 -3.2798 0.0011142 **
fesisDelaware.2014 -9.7180e-01 2.4797e-01 -3.9190 0.0001018 ***
fesisDistrictofColumbia.2012 6.6649e-01 2.4542e-01 2.7157 0.0068501 **
fesisMississippi.2004 -1.5126e+00 3.3215e-01 -4.5539 6.678e-06 ***
fesisNebraska.2013 9.1676e-01 2.4360e-01 3.7633 0.0001884 ***
fesisSouthCarolina.2008 8.7533e-01 2.4970e-01 3.5055 0.0004983 ***
fesisSouthDakota.2008 1.1357e+00 2.6300e-01 4.3181 1.912e-05 ***
fesisSouthDakota.2018 -1.1136e+00 3.4615e-01 -3.2169 0.0013828 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.00035201 1 0.9850
Ljung-Box ARCH(1) 1.86833616 1 0.1717
SE of regression 0.51499
R-squared 0.78884
Log-lik.(n=540) -378.88032 0.001
1
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:38:15 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 8.5054e-02 4.2350e-02 2.0084 0.0452309 *
gdp -6.2067e-05 6.4556e-06 -9.6145 < 2.2e-16 ***
pop 3.8233e-03 4.8469e-04 7.8880 2.574e-14 ***
avg_temp -8.8653e-02 2.3544e-02 -3.7655 0.0001894 ***
fuel 1.5283e-02 3.8018e-03 4.0199 6.879e-05 ***
idCalifornia 2.1183e+00 1.2325e-01 17.1872 < 2.2e-16 ***
idColorado 3.2799e-01 7.6852e-02 4.2678 2.432e-05 ***
idConnecticut 9.3806e-01 1.1002e-01 8.5264 2.607e-16 ***
idFlorida 4.1462e-01 7.7591e-02 5.3436 1.482e-07 ***
idGeorgia -2.3279e-01 7.6234e-02 -3.0537 0.0024012 **
idIllinois 4.2852e-01 7.8032e-02 5.4916 6.834e-08 ***
idIndiana -6.5653e-01 8.1989e-02 -8.0075 1.111e-14 ***
idLouisiana -1.4677e+00 1.2052e-01 -12.1782 < 2.2e-16 ***
idMaryland -3.4105e-01 7.7590e-02 -4.3955 1.395e-05 ***
idMassachusetts 1.0589e+00 8.9849e-02 11.7859 < 2.2e-16 ***
idMichigan 6.2433e-01 8.0912e-02 7.7162 8.483e-14 ***
idMinnesota 2.2580e-01 7.6363e-02 2.9570 0.0032782 **
idMissouri -8.9644e-01 8.9837e-02 -9.9784 < 2.2e-16 ***
idNewJersey 3.1130e-01 7.6891e-02 4.0486 6.113e-05 ***
idNewYork 1.2661e+00 9.5855e-02 13.2079 < 2.2e-16 ***
idNorthCarolina 3.2119e-01 7.6887e-02 4.1774 3.574e-05 ***
idOhio 6.2925e-01 8.1380e-02 7.7323 7.594e-14 ***
idPennsylvania 6.8811e-01 8.2110e-02 8.3803 7.620e-16 ***
idTennessee -8.0767e-01 8.7542e-02 -9.2261 < 2.2e-16 ***
idTexas 8.2712e-01 8.4505e-02 9.7878 < 2.2e-16 ***
idVirginia 6.4125e-03 7.6716e-02 0.0836 0.9334241
idWashington 2.2037e-01 7.6133e-02 2.8946 0.0039903 **
idWisconsin 9.5885e-03 7.5633e-02 0.1268 0.8991766
time2001 1.0478e+00 2.4722e-01 4.2385 2.757e-05 ***
time2002 1.0810e+00 2.3082e-01 4.6831 3.797e-06 ***
time2003 1.4511e+00 2.5782e-01 5.6283 3.291e-08 ***
time2004 1.4111e+00 2.2907e-01 6.1599 1.676e-09 ***
time2005 1.8794e+00 2.8606e-01 6.5698 1.462e-10 ***
time2006 1.8514e+00 2.9333e-01 6.3117 6.891e-10 ***
time2007 1.9588e+00 3.1358e-01 6.2465 1.012e-09 ***
time2008 9.7797e-01 3.1608e-01 3.0940 0.0021037 **
time2009 5.0745e-02 1.2221e-01 0.4152 0.6781928
time2010 -3.5215e-01 1.3503e-01 -2.6079 0.0094282 **
time2011 -6.7363e-01 2.0575e-01 -3.2740 0.0011463 **
time2012 -5.6493e-01 2.3155e-01 -2.4398 0.0151009 *
time2013 -8.9396e-01 1.7552e-01 -5.0932 5.284e-07 ***
time2014 -1.0102e+00 1.5571e-01 -6.4880 2.402e-10 ***
time2015 -3.2792e-01 1.2010e-01 -2.7304 0.0065864 **
time2016 -2.0638e-01 1.2995e-01 -1.5882 0.1129808
iis161 -1.0164e+00 2.5816e-01 -3.9373 9.615e-05 ***
iis261 -1.4779e+00 2.5113e-01 -5.8850 8.033e-09 ***
iis383 -1.1362e+00 2.5066e-01 -4.5330 7.554e-06 ***
iis421 -1.1754e+00 2.5125e-01 -4.6783 3.884e-06 ***
fesisConnecticut.2009 -5.9004e-01 1.1477e-01 -5.1411 4.159e-07 ***
fesisLouisiana.2011 -9.0918e-01 1.5047e-01 -6.0422 3.302e-09 ***
fesisLouisiana.2015 1.0129e+00 1.6142e-01 6.2748 8.568e-10 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.3737 1 0.5410
Ljung-Box ARCH(1) 2.1844 1 0.1394
SE of regression 0.23912
R-squared 0.94612
Log-lik.(n=480) 31.19854 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:40:54 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 8.5054e-02 4.2350e-02 2.0084 0.0452309 *
lgdp -1.8947e+02 3.7804e+02 -0.5012 0.6165016
gdp_sq -1.7546e-09 4.3320e-09 -0.4050 0.6856516
lpop -9.2438e+01 3.3075e+02 -0.2795 0.7800124
lgdp_sq 2.1511e+01 5.1704e+01 0.4160 0.6775860
avg_temp -8.8213e-01 2.2183e+00 -0.3977 0.6910730
lfuel 8.9803e-01 4.1134e-01 2.1832 0.0295612 *
idCalifornia 2.1183e+00 1.2325e-01 17.1872 < 2.2e-16 ***
idColorado 3.2799e-01 7.6852e-02 4.2678 2.432e-05 ***
idConnecticut 9.3806e-01 1.1002e-01 8.5264 2.607e-16 ***
idFlorida 4.1462e-01 7.7591e-02 5.3436 1.482e-07 ***
idGeorgia -2.3279e-01 7.6234e-02 -3.0537 0.0024012 **
idIllinois 4.2852e-01 7.8032e-02 5.4916 6.834e-08 ***
idIndiana -6.5653e-01 8.1989e-02 -8.0075 1.111e-14 ***
idLouisiana -1.4677e+00 1.2052e-01 -12.1782 < 2.2e-16 ***
idMaryland -3.4105e-01 7.7590e-02 -4.3955 1.395e-05 ***
idMassachusetts 1.0589e+00 8.9849e-02 11.7859 < 2.2e-16 ***
idMichigan 6.2433e-01 8.0912e-02 7.7162 8.483e-14 ***
idMinnesota 2.2580e-01 7.6363e-02 2.9570 0.0032782 **
idMissouri -8.9644e-01 8.9837e-02 -9.9784 < 2.2e-16 ***
idNewJersey 3.1130e-01 7.6891e-02 4.0486 6.113e-05 ***
idNewYork 1.2661e+00 9.5855e-02 13.2079 < 2.2e-16 ***
idNorthCarolina 3.2119e-01 7.6887e-02 4.1774 3.574e-05 ***
idOhio 6.2925e-01 8.1380e-02 7.7323 7.594e-14 ***
idPennsylvania 6.8811e-01 8.2110e-02 8.3803 7.620e-16 ***
idTennessee -8.0767e-01 8.7542e-02 -9.2261 < 2.2e-16 ***
idTexas 8.2712e-01 8.4505e-02 9.7878 < 2.2e-16 ***
idVirginia 6.4125e-03 7.6716e-02 0.0836 0.9334241
idWashington 2.2037e-01 7.6133e-02 2.8946 0.0039903 **
idWisconsin 9.5885e-03 7.5633e-02 0.1268 0.8991766
time2001 1.2379e+01 1.9450e+01 0.6365 0.5248094
time2002 8.4637e+00 1.0229e+01 0.8274 0.4084511
time2003 1.4184e+00 7.9174e+00 0.1792 0.8579027
time2004 -3.8020e+00 2.0364e+01 -0.1867 0.8519827
time2005 -8.8527e+00 3.3263e+01 -0.2661 0.7902557
time2006 -1.0184e+01 3.5615e+01 -0.2860 0.7750494
time2007 -1.0120e+01 3.5006e+01 -0.2891 0.7726566
time2008 -8.9418e+00 2.9408e+01 -0.3041 0.7612315
time2009 1.2203e+00 3.5335e-01 3.4534 0.0006086 ***
time2010 7.2159e-02 1.8346e+00 0.0393 0.9686439
time2011 -1.6550e+00 5.6477e+00 -0.2930 0.7696268
time2012 -8.3316e-01 3.1871e+00 -0.2614 0.7938992
time2013 -1.9058e+00 5.0273e+00 -0.3791 0.7048142
time2014 -1.8825e-01 5.9856e-01 -0.3145 0.7532852
iis161 -1.0164e+00 2.5816e-01 -3.9373 9.615e-05 ***
iis261 -1.4779e+00 2.5113e-01 -5.8850 8.033e-09 ***
iis383 -1.1362e+00 2.5066e-01 -4.5330 7.554e-06 ***
iis421 -1.1754e+00 2.5125e-01 -4.6783 3.884e-06 ***
fesisConnecticut.2009 -5.9004e-01 1.1477e-01 -5.1411 4.159e-07 ***
fesisLouisiana.2011 -9.0918e-01 1.5047e-01 -6.0422 3.302e-09 ***
fesisLouisiana.2015 1.0129e+00 1.6142e-01 6.2748 8.568e-10 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.3737 1 0.5410
Ljung-Box ARCH(1) 2.1844 1 0.1394
SE of regression 0.23912
R-squared 0.94612
Log-lik.(n=480) 31.19854 2
Formula: ihs_patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:39:31 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.1179e-01 4.4521e-02 2.5109 0.0123627 *
gdp -8.6400e-05 3.8885e-05 -2.2219 0.0267438 *
pop -9.5105e-04 1.5074e-03 -0.6309 0.5283746
avg_temp 3.2580e-01 9.8005e-02 3.3243 0.0009527 ***
fuel 3.8670e-02 1.2001e-02 3.2223 0.0013562 **
idAlaska -1.1702e+00 1.8630e-01 -6.2814 7.399e-10 ***
idArkansas -3.7703e-01 1.7702e-01 -2.1298 0.0336815 *
idDelaware 1.6624e+00 2.1410e-01 7.7646 4.806e-14 ***
idDistrictofColumbia 1.3898e-01 1.7561e-01 0.7914 0.4290893
idHawaii -3.9080e-02 1.7568e-01 -0.2224 0.8240586
idIdaho 3.1786e-01 1.7606e-01 1.8054 0.0716176 .
idIowa 3.0668e-01 1.7598e-01 1.7427 0.0820169 .
idKansas 4.3342e-02 1.7557e-01 0.2469 0.8051148
idKentucky 1.5154e-01 1.7568e-01 0.8626 0.3887975
idMaine 1.7686e-01 1.7559e-01 1.0072 0.3143110
idMississippi 5.1538e-01 3.4860e-01 1.4784 0.1399378
idMontana -5.0133e-01 1.7764e-01 -2.8222 0.0049624 **
idNebraska -2.6203e-01 1.7643e-01 -1.4852 0.1381304
idNevada 8.6052e-01 1.8024e-01 4.7742 2.385e-06 ***
idNewHampshire 1.0184e+00 1.8294e-01 5.5672 4.266e-08 ***
idNewMexico 1.1456e+00 1.8421e-01 6.2191 1.071e-09 ***
idNorthDakota -6.7681e-01 1.7984e-01 -3.7635 0.0001878 ***
idOklahoma 6.4861e-01 1.7781e-01 3.6477 0.0002929 ***
idOregon 1.6031e+00 1.9223e-01 8.3396 7.575e-16 ***
idRhodeIsland 5.0993e-01 1.7752e-01 2.8725 0.0042482 **
idSouthCarolina 1.7487e+00 1.9492e-01 8.9716 < 2.2e-16 ***
idSouthDakota -1.9130e-01 1.7604e-01 -1.0867 0.2776919
idUtah 8.5873e-01 1.8042e-01 4.7595 2.557e-06 ***
idVermont -2.6590e-04 1.7557e-01 -0.0015 0.9987922
idWestVirginia -6.3891e-01 1.7882e-01 -3.5730 0.0003877 ***
idWyoming -3.7351e-01 1.7682e-01 -2.1124 0.0351563 *
time2001 -2.7091e+00 1.0556e+00 -2.5664 0.0105729 *
time2002 -2.5250e+00 9.8908e-01 -2.5529 0.0109854 *
time2003 -1.7965e+00 7.9123e-01 -2.2705 0.0236080 *
time2004 -1.5275e+00 5.2509e-01 -2.9091 0.0037890 **
time2005 -1.0530e+00 3.5752e-01 -2.9454 0.0033788 **
time2006 -1.2775e+00 3.7429e-01 -3.4131 0.0006953 ***
time2007 -1.2228e+00 3.8689e-01 -3.1607 0.0016709 **
time2008 -2.0083e+00 7.4934e-01 -2.6801 0.0076070 **
time2009 -6.5250e-01 5.9164e-01 -1.1029 0.2706267
time2010 -1.0976e+00 6.6787e-01 -1.6434 0.1009434
time2011 -1.9022e+00 8.2001e-01 -2.3198 0.0207635 *
time2012 -2.0536e+00 7.8926e-01 -2.6019 0.0095497 **
time2013 -1.3387e+00 7.4891e-01 -1.7875 0.0744761 .
time2014 -1.1203e+00 7.1336e-01 -1.5704 0.1169550
time2015 -1.4884e-01 2.5843e-01 -0.5759 0.5649332
time2016 1.6781e-01 2.2586e-01 0.7430 0.4578524
fesisDelaware.2014 -9.6675e-01 2.6704e-01 -3.6202 0.0003249 ***
fesisMississippi.2004 -1.4814e+00 3.5795e-01 -4.1387 4.110e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0026855 1 0.958671
Ljung-Box ARCH(1) 10.3811254 1 0.001273 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.55517
R-squared 0.75002
Log-lik.(n=540) -423.95109 
Formula: ihs_patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:42:45 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.1179e-01 4.4521e-02 2.5109 0.0123627 *
lgdp 1.5331e+02 2.4187e+02 0.6339 0.5264716
gdp_sq 1.1141e-09 2.9434e-09 0.3785 0.7052120
lpop -6.2779e+01 3.9367e+01 -1.5947 0.1114174
lgdp_sq -8.9275e+00 1.8393e+01 -0.4854 0.6276346
avg_temp -6.4542e-01 7.8851e-01 -0.8185 0.4134522
lfuel -2.2981e+00 2.8352e+00 -0.8106 0.4180028
idAlaska -1.1702e+00 1.8630e-01 -6.2814 7.399e-10 ***
idArkansas -3.7703e-01 1.7702e-01 -2.1298 0.0336815 *
idDelaware 1.6624e+00 2.1410e-01 7.7646 4.806e-14 ***
idDistrictofColumbia 1.3898e-01 1.7561e-01 0.7914 0.4290893
idHawaii -3.9080e-02 1.7568e-01 -0.2224 0.8240586
idIdaho 3.1786e-01 1.7606e-01 1.8054 0.0716176 .
idIowa 3.0668e-01 1.7598e-01 1.7427 0.0820169 .
idKansas 4.3342e-02 1.7557e-01 0.2469 0.8051148
idKentucky 1.5154e-01 1.7568e-01 0.8626 0.3887975
idMaine 1.7686e-01 1.7559e-01 1.0072 0.3143110
idMississippi 5.1538e-01 3.4860e-01 1.4784 0.1399378
idMontana -5.0133e-01 1.7764e-01 -2.8222 0.0049624 **
idNebraska -2.6203e-01 1.7643e-01 -1.4852 0.1381304
idNevada 8.6052e-01 1.8024e-01 4.7742 2.385e-06 ***
idNewHampshire 1.0184e+00 1.8294e-01 5.5672 4.266e-08 ***
idNewMexico 1.1456e+00 1.8421e-01 6.2191 1.071e-09 ***
idNorthDakota -6.7681e-01 1.7984e-01 -3.7635 0.0001878 ***
idOklahoma 6.4861e-01 1.7781e-01 3.6477 0.0002929 ***
idOregon 1.6031e+00 1.9223e-01 8.3396 7.575e-16 ***
idRhodeIsland 5.0993e-01 1.7752e-01 2.8725 0.0042482 **
idSouthCarolina 1.7487e+00 1.9492e-01 8.9716 < 2.2e-16 ***
idSouthDakota -1.9130e-01 1.7604e-01 -1.0867 0.2776919
idUtah 8.5873e-01 1.8042e-01 4.7595 2.557e-06 ***
idVermont -2.6590e-04 1.7557e-01 -0.0015 0.9987922
idWestVirginia -6.3891e-01 1.7882e-01 -3.5730 0.0003877 ***
idWyoming -3.7351e-01 1.7682e-01 -2.1124 0.0351563 *
time2001 -7.3274e+00 1.0202e+01 -0.7182 0.4729644
time2002 -6.5704e+00 8.5471e+00 -0.7687 0.4424240
time2003 -6.0953e+00 7.2504e+00 -0.8407 0.4009335
time2004 -5.0908e+00 4.0794e+00 -1.2479 0.2126480
time2005 -3.8890e+00 2.5857e+00 -1.5041 0.1332072
time2006 -2.2951e+00 1.0917e+00 -2.1024 0.0360254 *
time2007 -1.2751e+00 4.0461e-01 -3.1515 0.0017237 **
time2008 -6.6377e-01 4.2841e-01 -1.5494 0.1219306
time2009 -6.1173e-01 1.3448e+00 -0.4549 0.6493920
time2010 -1.2851e-01 5.9653e-01 -0.2154 0.8295201
time2011 1.1586e+00 1.3777e+00 0.8409 0.4007940
time2012 1.9619e+00 2.2225e+00 0.8827 0.3778068
time2013 3.3972e-01 5.5187e-01 0.6156 0.5384483
time2014 -1.9533e-01 4.4853e-01 -0.4355 0.6634040
fesisDelaware.2014 -9.6675e-01 2.6704e-01 -3.6202 0.0003249 ***
fesisMississippi.2004 -1.4814e+00 3.5795e-01 -4.1387 4.110e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0026855 1 0.958671
Ljung-Box ARCH(1) 10.3811254 1 0.001273 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 0.55517
R-squared 0.75002
Log-lik.(n=540) -423.95109 Patent Count
0.01
1
Formula: patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:32:37 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 4.9279e-01 4.3331e-02 11.3726 < 2.2e-16 ***
gdp -1.0305e-03 2.1021e-04 -4.9026 1.359e-06 ***
pop 5.8903e-02 1.5748e-02 3.7404 0.0002095 ***
avg_temp -1.5832e+00 7.6842e-01 -2.0603 0.0399929 *
fuel 1.5003e-01 1.2395e-01 1.2104 0.2268285
idCalifornia -3.6738e+01 1.0537e+01 -3.4865 0.0005414 ***
idColorado 4.8889e+00 2.4489e+00 1.9963 0.0465483 *
idConnecticut 8.4909e+00 2.5355e+00 3.3488 0.0008857 ***
idFlorida 5.6786e+00 2.4597e+00 2.3087 0.0214499 *
idGeorgia -2.4297e+00 2.4232e+00 -1.0027 0.3166120
idIllinois 5.2887e+00 2.4611e+00 2.1489 0.0322163 *
idIndiana -5.5053e+00 2.4659e+00 -2.2326 0.0261091 *
idLouisiana -8.7304e+00 2.5344e+00 -3.4448 0.0006296 ***
idMaryland -3.5591e+00 2.4383e+00 -1.4596 0.1451445
idMassachusetts 1.9054e+01 3.0766e+00 6.1932 1.417e-09 ***
idMichigan 1.0498e+01 2.5792e+00 4.0704 5.618e-05 ***
idMinnesota 2.4759e+00 2.4258e+00 1.0206 0.3080186
idMissouri -6.7421e+00 2.4898e+00 -2.7078 0.0070514 **
idNewJersey 3.7617e+00 2.4384e+00 1.5427 0.1236756
idNewYork 2.8210e+01 3.4795e+00 8.1075 5.838e-15 ***
idNorthCarolina 3.8611e+00 2.4377e+00 1.5839 0.1139757
idOhio 9.3794e+00 2.5624e+00 3.6604 0.0002842 ***
idPennsylvania 1.1923e+01 2.6287e+00 4.5356 7.525e-06 ***
idTennessee -6.0484e+00 2.4765e+00 -2.4423 0.0150088 *
idTexas 1.4824e+01 2.7373e+00 5.4155 1.035e-07 ***
idVirginia -2.2821e-01 2.4166e+00 -0.0944 0.9248104
idWashington 2.6074e+00 2.4251e+00 1.0752 0.2829127
idWisconsin -1.0448e-01 2.4166e+00 -0.0432 0.9655374
time2001 7.8916e+00 8.0526e+00 0.9800 0.3276544
time2002 9.6946e+00 7.5371e+00 1.2863 0.1990695
time2003 1.6658e+01 8.3938e+00 1.9846 0.0478453 *
time2004 1.8031e+01 7.4657e+00 2.4152 0.0161584 *
time2005 2.5513e+01 9.3066e+00 2.7414 0.0063817 **
time2006 2.8571e+01 9.5207e+00 3.0009 0.0028539 **
time2007 3.1590e+01 1.0170e+01 3.1064 0.0020238 **
time2008 1.6848e+01 1.0242e+01 1.6450 0.1007270
time2009 5.2369e-01 3.9309e+00 0.1332 0.8940809
time2010 -4.9011e+00 4.3194e+00 -1.1347 0.2571718
time2011 -1.0085e+01 6.6182e+00 -1.5238 0.1283068
time2012 -8.5105e+00 7.4749e+00 -1.1385 0.2555495
time2013 -1.2637e+01 5.6500e+00 -2.2367 0.0258358 *
time2014 -1.9721e+01 5.0277e+00 -3.9224 0.0001025 ***
time2015 -8.0224e+00 3.9232e+00 -2.0449 0.0414975 *
time2016 -9.0377e+00 4.2469e+00 -2.1281 0.0339175 *
iis21 9.0646e+01 1.1888e+01 7.6252 1.670e-13 ***
iis22 7.0845e+01 1.1527e+01 6.1459 1.864e-09 ***
iis23 7.6079e+01 1.1624e+01 6.5452 1.751e-10 ***
iis24 1.0307e+02 1.1602e+01 8.8833 < 2.2e-16 ***
iis25 1.1456e+02 1.1290e+01 10.1468 < 2.2e-16 ***
iis26 1.8977e+02 1.1112e+01 17.0772 < 2.2e-16 ***
iis27 1.7426e+02 1.1322e+01 15.3912 < 2.2e-16 ***
iis28 2.0837e+02 1.1652e+01 17.8831 < 2.2e-16 ***
iis29 2.1438e+02 1.2424e+01 17.2548 < 2.2e-16 ***
iis30 1.6650e+02 1.3084e+01 12.7255 < 2.2e-16 ***
iis31 1.7408e+02 1.2379e+01 14.0629 < 2.2e-16 ***
iis32 1.6708e+02 1.2215e+01 13.6787 < 2.2e-16 ***
iis33 1.6596e+02 1.2014e+01 13.8137 < 2.2e-16 ***
iis34 1.1678e+02 1.1903e+01 9.8108 < 2.2e-16 ***
iis35 1.4042e+02 1.1252e+01 12.4794 < 2.2e-16 ***
iis36 1.4473e+02 1.1234e+01 12.8834 < 2.2e-16 ***
iis37 1.1510e+02 1.1260e+01 10.2214 < 2.2e-16 ***
iis38 1.3020e+02 1.1085e+01 11.7460 < 2.2e-16 ***
iis39 1.0500e+02 1.1090e+01 9.4685 < 2.2e-16 ***
iis208 4.4583e+01 8.0164e+00 5.5614 4.794e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 7.2097 1 0.007251 **
Ljung-Box ARCH(1) 4.8416 1 0.027781 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.64106
R-squared 0.97631
Log-lik.(n=480) -1625.18814 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:35:30 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 4.9279e-01 4.3331e-02 11.3726 < 2.2e-16 ***
lgdp -2.0028e+04 1.2354e+04 -1.6211 0.1057528
gdp_sq -2.2545e-07 1.4157e-07 -1.5925 0.1120305
lpop -1.6778e+04 1.0809e+04 -1.5522 0.1213732
lgdp_sq 2.6946e+03 1.6897e+03 1.5947 0.1115382
avg_temp -1.1510e+02 7.2492e+01 -1.5877 0.1131099
lfuel 3.5462e+01 1.3440e+01 2.6386 0.0086374 **
idCalifornia -3.6738e+01 1.0537e+01 -3.4865 0.0005414 ***
idColorado 4.8889e+00 2.4489e+00 1.9963 0.0465483 *
idConnecticut 8.4909e+00 2.5355e+00 3.3488 0.0008857 ***
idFlorida 5.6786e+00 2.4597e+00 2.3087 0.0214499 *
idGeorgia -2.4297e+00 2.4232e+00 -1.0027 0.3166120
idIllinois 5.2887e+00 2.4611e+00 2.1489 0.0322163 *
idIndiana -5.5053e+00 2.4659e+00 -2.2326 0.0261091 *
idLouisiana -8.7304e+00 2.5344e+00 -3.4448 0.0006296 ***
idMaryland -3.5591e+00 2.4383e+00 -1.4596 0.1451445
idMassachusetts 1.9054e+01 3.0766e+00 6.1932 1.417e-09 ***
idMichigan 1.0498e+01 2.5792e+00 4.0704 5.618e-05 ***
idMinnesota 2.4759e+00 2.4258e+00 1.0206 0.3080186
idMissouri -6.7421e+00 2.4898e+00 -2.7078 0.0070514 **
idNewJersey 3.7617e+00 2.4384e+00 1.5427 0.1236756
idNewYork 2.8210e+01 3.4795e+00 8.1075 5.838e-15 ***
idNorthCarolina 3.8611e+00 2.4377e+00 1.5839 0.1139757
idOhio 9.3794e+00 2.5624e+00 3.6604 0.0002842 ***
idPennsylvania 1.1923e+01 2.6287e+00 4.5356 7.525e-06 ***
idTennessee -6.0484e+00 2.4765e+00 -2.4423 0.0150088 *
idTexas 1.4824e+01 2.7373e+00 5.4155 1.035e-07 ***
idVirginia -2.2821e-01 2.4166e+00 -0.0944 0.9248104
idWashington 2.6074e+00 2.4251e+00 1.0752 0.2829127
idWisconsin -1.0448e-01 2.4166e+00 -0.0432 0.9655374
time2001 1.0547e+03 6.3564e+02 1.6593 0.0978081 .
time2002 5.7367e+02 3.3429e+02 1.7161 0.0868954 .
time2003 -3.6338e+02 2.5872e+02 -1.4045 0.1609182
time2004 -1.0137e+03 6.6549e+02 -1.5232 0.1284566
time2005 -1.6853e+03 1.0870e+03 -1.5503 0.1218213
time2006 -1.8094e+03 1.1639e+03 -1.5546 0.1207934
time2007 -1.7789e+03 1.1440e+03 -1.5550 0.1207023
time2008 -1.5027e+03 9.6108e+02 -1.5636 0.1186806
time2009 1.9299e+01 1.1512e+01 1.6764 0.0944153 .
time2010 -8.7140e+01 5.9971e+01 -1.4530 0.1469666
time2011 -2.9307e+02 1.8459e+02 -1.5877 0.1131191
time2012 -1.6766e+02 1.0418e+02 -1.6094 0.1082851
time2013 -2.6531e+02 1.6431e+02 -1.6147 0.1071395
time2014 1.4550e+01 1.9531e+01 0.7450 0.4567066
iis21 9.0646e+01 1.1888e+01 7.6252 1.670e-13 ***
iis22 7.0845e+01 1.1527e+01 6.1459 1.864e-09 ***
iis23 7.6079e+01 1.1624e+01 6.5452 1.751e-10 ***
iis24 1.0307e+02 1.1602e+01 8.8833 < 2.2e-16 ***
iis25 1.1456e+02 1.1290e+01 10.1468 < 2.2e-16 ***
iis26 1.8977e+02 1.1112e+01 17.0772 < 2.2e-16 ***
iis27 1.7426e+02 1.1322e+01 15.3912 < 2.2e-16 ***
iis28 2.0837e+02 1.1652e+01 17.8831 < 2.2e-16 ***
iis29 2.1438e+02 1.2424e+01 17.2548 < 2.2e-16 ***
iis30 1.6650e+02 1.3084e+01 12.7255 < 2.2e-16 ***
iis31 1.7408e+02 1.2379e+01 14.0629 < 2.2e-16 ***
iis32 1.6708e+02 1.2215e+01 13.6787 < 2.2e-16 ***
iis33 1.6596e+02 1.2014e+01 13.8137 < 2.2e-16 ***
iis34 1.1678e+02 1.1903e+01 9.8108 < 2.2e-16 ***
iis35 1.4042e+02 1.1252e+01 12.4794 < 2.2e-16 ***
iis36 1.4473e+02 1.1234e+01 12.8834 < 2.2e-16 ***
iis37 1.1510e+02 1.1260e+01 10.2214 < 2.2e-16 ***
iis38 1.3020e+02 1.1085e+01 11.7460 < 2.2e-16 ***
iis39 1.0500e+02 1.1090e+01 9.4685 < 2.2e-16 ***
iis208 4.4583e+01 8.0164e+00 5.5614 4.794e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 7.2097 1 0.007251 **
Ljung-Box ARCH(1) 4.8416 1 0.027781 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.64106
R-squared 0.97631
Log-lik.(n=480) -1625.18814 2
Formula: patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:34:19 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.6131e-01 3.5311e-02 4.5683 6.270e-06 ***
gdp -2.9301e-04 1.5204e-04 -1.9272 0.0545475 .
pop -1.1999e-03 5.9096e-03 -0.2030 0.8391914
avg_temp 9.2041e-01 3.8619e-01 2.3833 0.0175491 *
fuel 1.2589e-01 4.7150e-02 2.6700 0.0078440 **
idAlaska -2.3969e+00 6.8876e-01 -3.4800 0.0005475 ***
idArkansas -8.1346e-01 6.8181e-01 -1.1931 0.2334274
idDelaware 9.5412e+00 1.0221e+00 9.3351 < 2.2e-16 ***
idDistrictofColumbia 4.0424e-01 6.8087e-01 0.5937 0.5529898
idHawaii -2.4305e-01 6.8089e-01 -0.3570 0.7212862
idIdaho 8.0986e-01 6.8144e-01 1.1884 0.2352492
idIowa 6.6847e-01 6.8117e-01 0.9814 0.3269170
idKansas -2.2668e-01 6.8087e-01 -0.3329 0.7393400
idKentucky 2.5179e-01 6.8080e-01 0.3698 0.7116624
idMaine 3.0658e-01 6.8076e-01 0.4504 0.6526582
idMississippi -1.7986e+00 6.8553e-01 -2.6236 0.0089794 **
idMontana -1.3812e+00 6.8341e-01 -2.0211 0.0438254 *
idNebraska -7.9134e-01 6.8179e-01 -1.1607 0.2463530
idNevada 3.3057e+00 6.9513e-01 4.7555 2.626e-06 ***
idNewHampshire 4.4116e+00 7.0936e-01 6.2192 1.093e-09 ***
idNewMexico 4.6413e+00 7.3896e-01 6.2809 7.588e-10 ***
idNorthDakota -1.7293e+00 6.8519e-01 -2.5238 0.0119318 *
idOklahoma 2.0709e+00 6.8566e-01 3.0204 0.0026601 **
idOregon 1.0741e+01 8.4168e-01 12.7610 < 2.2e-16 ***
idRhodeIsland 1.5273e+00 6.8403e-01 2.2329 0.0260220 *
idSouthCarolina 5.5199e+00 9.7794e-01 5.6444 2.848e-08 ***
idSouthDakota -9.2898e-02 6.8077e-01 -0.1365 0.8915151
idUtah 4.0297e+00 7.0162e-01 5.7435 1.654e-08 ***
idVermont -5.4992e-02 6.8074e-01 -0.0808 0.9356491
idWestVirginia -1.5694e+00 6.8415e-01 -2.2940 0.0222252 *
idWyoming -1.2257e+00 6.8283e-01 -1.7951 0.0732740 .
time2001 -8.6137e+00 4.1363e+00 -2.0824 0.0378344 *
time2002 -7.6288e+00 3.8801e+00 -1.9661 0.0498647 *
time2003 -5.6109e+00 3.1015e+00 -1.8091 0.0710672 .
time2004 -4.5675e+00 2.0671e+00 -2.2096 0.0276101 *
time2005 -3.1073e+00 1.4031e+00 -2.2147 0.0272554 *
time2006 -3.9143e+00 1.4729e+00 -2.6575 0.0081363 **
time2007 -3.4199e+00 1.5197e+00 -2.2504 0.0248800 *
time2008 -6.0174e+00 2.9439e+00 -2.0440 0.0415008 *
time2009 -1.8301e+00 2.3224e+00 -0.7880 0.4310681
time2010 -3.3166e+00 2.6242e+00 -1.2639 0.2068892
time2011 -5.5406e+00 3.2214e+00 -1.7199 0.0860947 .
time2012 -6.2987e+00 3.1000e+00 -2.0318 0.0427266 *
time2013 -4.3890e+00 2.9460e+00 -1.4898 0.1369394
time2014 -4.4772e+00 2.8044e+00 -1.5965 0.1110433
time2015 -8.1974e-01 1.0187e+00 -0.8047 0.4213906
time2016 5.2159e-01 8.8910e-01 0.5867 0.5577141
iis68 6.9444e+00 2.5358e+00 2.7386 0.0064019 **
iis70 8.0471e+00 2.5362e+00 3.1729 0.0016064 **
iis71 -1.2787e+01 2.5634e+00 -4.9883 8.548e-07 ***
iis326 9.2133e+00 2.2541e+00 4.0873 5.121e-05 ***
iis335 8.8701e+00 2.2541e+00 3.9351 9.554e-05 ***
iis382 1.6641e+01 2.2647e+00 7.3479 8.798e-13 ***
iis384 -7.9423e+00 2.2731e+00 -3.4940 0.0005202 ***
iis389 -6.3043e+00 2.2660e+00 -2.7821 0.0056151 **
iis429 1.5368e+01 2.3408e+00 6.5651 1.360e-10 ***
iis432 1.3143e+01 2.3274e+00 5.6470 2.808e-08 ***
iis437 1.8367e+01 2.3345e+00 7.8675 2.444e-14 ***
iis438 1.5705e+01 2.3763e+00 6.6091 1.036e-10 ***
fesisDelaware.2008 5.9634e+00 1.5269e+00 3.9056 0.0001076 ***
fesisDelaware.2014 -1.2861e+01 1.5507e+00 -8.2935 1.132e-15 ***
fesisSouthCarolina.2008 1.2955e+01 1.3513e+00 9.5873 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.7545e+01 2.3356e+00 -7.5123 2.888e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0042308 1 0.94814
Ljung-Box ARCH(1) 2.9874120 1 0.08391 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.15265
R-squared 0.90033
Log-lik.(n=540) -1148.74495 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.01; AR: 1
Date: Wed Mar 22 15:37:01 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.6131e-01 3.5311e-02 4.5683 6.270e-06 ***
lgdp 3.4629e+02 9.5391e+02 0.3630 0.7167482
gdp_sq 1.4998e-09 1.1613e-08 0.1291 0.8972952
lpop -2.0911e+02 1.5462e+02 -1.3524 0.1768855
lgdp_sq -1.5572e+01 7.2569e+01 -0.2146 0.8301807
avg_temp -2.3784e+00 3.1026e+00 -0.7666 0.4437072
lfuel -8.4058e+00 1.1136e+01 -0.7548 0.4507409
idAlaska -2.3969e+00 6.8876e-01 -3.4800 0.0005475 ***
idArkansas -8.1346e-01 6.8181e-01 -1.1931 0.2334274
idDelaware 9.5412e+00 1.0221e+00 9.3351 < 2.2e-16 ***
idDistrictofColumbia 4.0424e-01 6.8087e-01 0.5937 0.5529898
idHawaii -2.4305e-01 6.8089e-01 -0.3570 0.7212862
idIdaho 8.0986e-01 6.8144e-01 1.1884 0.2352492
idIowa 6.6847e-01 6.8117e-01 0.9814 0.3269170
idKansas -2.2668e-01 6.8087e-01 -0.3329 0.7393400
idKentucky 2.5179e-01 6.8080e-01 0.3698 0.7116624
idMaine 3.0658e-01 6.8076e-01 0.4504 0.6526582
idMississippi -1.7986e+00 6.8553e-01 -2.6236 0.0089794 **
idMontana -1.3812e+00 6.8341e-01 -2.0211 0.0438254 *
idNebraska -7.9134e-01 6.8179e-01 -1.1607 0.2463530
idNevada 3.3057e+00 6.9513e-01 4.7555 2.626e-06 ***
idNewHampshire 4.4116e+00 7.0936e-01 6.2192 1.093e-09 ***
idNewMexico 4.6413e+00 7.3896e-01 6.2809 7.588e-10 ***
idNorthDakota -1.7293e+00 6.8519e-01 -2.5238 0.0119318 *
idOklahoma 2.0709e+00 6.8566e-01 3.0204 0.0026601 **
idOregon 1.0741e+01 8.4168e-01 12.7610 < 2.2e-16 ***
idRhodeIsland 1.5273e+00 6.8403e-01 2.2329 0.0260220 *
idSouthCarolina 5.5199e+00 9.7794e-01 5.6444 2.848e-08 ***
idSouthDakota -9.2898e-02 6.8077e-01 -0.1365 0.8915151
idUtah 4.0297e+00 7.0162e-01 5.7435 1.654e-08 ***
idVermont -5.4992e-02 6.8074e-01 -0.0808 0.9356491
idWestVirginia -1.5694e+00 6.8415e-01 -2.2940 0.0222252 *
idWyoming -1.2257e+00 6.8283e-01 -1.7951 0.0732740 .
time2001 -1.6099e+01 4.0253e+01 -0.4000 0.6893707
time2002 -1.4584e+01 3.3719e+01 -0.4325 0.6655660
time2003 -1.5001e+01 2.8596e+01 -0.5246 0.6001177
time2004 -1.4511e+01 1.6071e+01 -0.9029 0.3670082
time2005 -1.1877e+01 1.0175e+01 -1.1672 0.2437089
time2006 -6.7921e+00 4.2971e+00 -1.5806 0.1146230
time2007 -3.1453e+00 1.5939e+00 -1.9733 0.0490327 *
time2008 -6.4829e-01 1.6888e+00 -0.3839 0.7012446
time2009 3.4168e-02 5.3170e+00 0.0064 0.9948753
time2010 1.1350e+00 2.3584e+00 0.4812 0.6305692
time2011 5.6704e+00 5.4055e+00 1.0490 0.2947083
time2012 7.9863e+00 8.7303e+00 0.9148 0.3607695
time2013 1.7686e+00 2.1622e+00 0.8180 0.4137941
time2014 -7.3252e-01 1.7679e+00 -0.4143 0.6788126
iis68 6.9444e+00 2.5358e+00 2.7386 0.0064019 **
iis70 8.0471e+00 2.5362e+00 3.1729 0.0016064 **
iis71 -1.2787e+01 2.5634e+00 -4.9883 8.548e-07 ***
iis326 9.2133e+00 2.2541e+00 4.0873 5.121e-05 ***
iis335 8.8701e+00 2.2541e+00 3.9351 9.554e-05 ***
iis382 1.6641e+01 2.2647e+00 7.3479 8.798e-13 ***
iis384 -7.9423e+00 2.2731e+00 -3.4940 0.0005202 ***
iis389 -6.3043e+00 2.2660e+00 -2.7821 0.0056151 **
iis429 1.5368e+01 2.3408e+00 6.5651 1.360e-10 ***
iis432 1.3143e+01 2.3274e+00 5.6470 2.808e-08 ***
iis437 1.8367e+01 2.3345e+00 7.8675 2.444e-14 ***
iis438 1.5705e+01 2.3763e+00 6.6091 1.036e-10 ***
fesisDelaware.2008 5.9634e+00 1.5269e+00 3.9056 0.0001076 ***
fesisDelaware.2014 -1.2861e+01 1.5507e+00 -8.2935 1.132e-15 ***
fesisSouthCarolina.2008 1.2955e+01 1.3513e+00 9.5873 < 2.2e-16 ***
fesisSouthCarolina.2020 -1.7545e+01 2.3356e+00 -7.5123 2.888e-13 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 0.0042308 1 0.94814
Ljung-Box ARCH(1) 2.9874120 1 0.08391 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.15265
R-squared 0.90033
Log-lik.(n=540) -1148.74495 0.001
1
Formula: patent_count ~ gdp + pop + avg_temp + fuel
1 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:32:37 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 4.9279e-01 4.3331e-02 11.3726 < 2.2e-16 ***
gdp -1.0305e-03 2.1021e-04 -4.9026 1.359e-06 ***
pop 5.8903e-02 1.5748e-02 3.7404 0.0002095 ***
avg_temp -1.5832e+00 7.6842e-01 -2.0603 0.0399929 *
fuel 1.5003e-01 1.2395e-01 1.2104 0.2268285
idCalifornia -3.6738e+01 1.0537e+01 -3.4865 0.0005414 ***
idColorado 4.8889e+00 2.4489e+00 1.9963 0.0465483 *
idConnecticut 8.4909e+00 2.5355e+00 3.3488 0.0008857 ***
idFlorida 5.6786e+00 2.4597e+00 2.3087 0.0214499 *
idGeorgia -2.4297e+00 2.4232e+00 -1.0027 0.3166120
idIllinois 5.2887e+00 2.4611e+00 2.1489 0.0322163 *
idIndiana -5.5053e+00 2.4659e+00 -2.2326 0.0261091 *
idLouisiana -8.7304e+00 2.5344e+00 -3.4448 0.0006296 ***
idMaryland -3.5591e+00 2.4383e+00 -1.4596 0.1451445
idMassachusetts 1.9054e+01 3.0766e+00 6.1932 1.417e-09 ***
idMichigan 1.0498e+01 2.5792e+00 4.0704 5.618e-05 ***
idMinnesota 2.4759e+00 2.4258e+00 1.0206 0.3080186
idMissouri -6.7421e+00 2.4898e+00 -2.7078 0.0070514 **
idNewJersey 3.7617e+00 2.4384e+00 1.5427 0.1236756
idNewYork 2.8210e+01 3.4795e+00 8.1075 5.838e-15 ***
idNorthCarolina 3.8611e+00 2.4377e+00 1.5839 0.1139757
idOhio 9.3794e+00 2.5624e+00 3.6604 0.0002842 ***
idPennsylvania 1.1923e+01 2.6287e+00 4.5356 7.525e-06 ***
idTennessee -6.0484e+00 2.4765e+00 -2.4423 0.0150088 *
idTexas 1.4824e+01 2.7373e+00 5.4155 1.035e-07 ***
idVirginia -2.2821e-01 2.4166e+00 -0.0944 0.9248104
idWashington 2.6074e+00 2.4251e+00 1.0752 0.2829127
idWisconsin -1.0448e-01 2.4166e+00 -0.0432 0.9655374
time2001 7.8916e+00 8.0526e+00 0.9800 0.3276544
time2002 9.6946e+00 7.5371e+00 1.2863 0.1990695
time2003 1.6658e+01 8.3938e+00 1.9846 0.0478453 *
time2004 1.8031e+01 7.4657e+00 2.4152 0.0161584 *
time2005 2.5513e+01 9.3066e+00 2.7414 0.0063817 **
time2006 2.8571e+01 9.5207e+00 3.0009 0.0028539 **
time2007 3.1590e+01 1.0170e+01 3.1064 0.0020238 **
time2008 1.6848e+01 1.0242e+01 1.6450 0.1007270
time2009 5.2369e-01 3.9309e+00 0.1332 0.8940809
time2010 -4.9011e+00 4.3194e+00 -1.1347 0.2571718
time2011 -1.0085e+01 6.6182e+00 -1.5238 0.1283068
time2012 -8.5105e+00 7.4749e+00 -1.1385 0.2555495
time2013 -1.2637e+01 5.6500e+00 -2.2367 0.0258358 *
time2014 -1.9721e+01 5.0277e+00 -3.9224 0.0001025 ***
time2015 -8.0224e+00 3.9232e+00 -2.0449 0.0414975 *
time2016 -9.0377e+00 4.2469e+00 -2.1281 0.0339175 *
iis21 9.0646e+01 1.1888e+01 7.6252 1.670e-13 ***
iis22 7.0845e+01 1.1527e+01 6.1459 1.864e-09 ***
iis23 7.6079e+01 1.1624e+01 6.5452 1.751e-10 ***
iis24 1.0307e+02 1.1602e+01 8.8833 < 2.2e-16 ***
iis25 1.1456e+02 1.1290e+01 10.1468 < 2.2e-16 ***
iis26 1.8977e+02 1.1112e+01 17.0772 < 2.2e-16 ***
iis27 1.7426e+02 1.1322e+01 15.3912 < 2.2e-16 ***
iis28 2.0837e+02 1.1652e+01 17.8831 < 2.2e-16 ***
iis29 2.1438e+02 1.2424e+01 17.2548 < 2.2e-16 ***
iis30 1.6650e+02 1.3084e+01 12.7255 < 2.2e-16 ***
iis31 1.7408e+02 1.2379e+01 14.0629 < 2.2e-16 ***
iis32 1.6708e+02 1.2215e+01 13.6787 < 2.2e-16 ***
iis33 1.6596e+02 1.2014e+01 13.8137 < 2.2e-16 ***
iis34 1.1678e+02 1.1903e+01 9.8108 < 2.2e-16 ***
iis35 1.4042e+02 1.1252e+01 12.4794 < 2.2e-16 ***
iis36 1.4473e+02 1.1234e+01 12.8834 < 2.2e-16 ***
iis37 1.1510e+02 1.1260e+01 10.2214 < 2.2e-16 ***
iis38 1.3020e+02 1.1085e+01 11.7460 < 2.2e-16 ***
iis39 1.0500e+02 1.1090e+01 9.4685 < 2.2e-16 ***
iis208 4.4583e+01 8.0164e+00 5.5614 4.794e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 7.2097 1 0.007251 **
Ljung-Box ARCH(1) 4.8416 1 0.027781 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.64106
R-squared 0.97631
Log-lik.(n=480) -1625.18814 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
1 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:35:31 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 480
Sample: 1 to 480
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 4.9279e-01 4.3331e-02 11.3726 < 2.2e-16 ***
lgdp -2.0028e+04 1.2354e+04 -1.6211 0.1057528
gdp_sq -2.2545e-07 1.4157e-07 -1.5925 0.1120305
lpop -1.6778e+04 1.0809e+04 -1.5522 0.1213732
lgdp_sq 2.6946e+03 1.6897e+03 1.5947 0.1115382
avg_temp -1.1510e+02 7.2492e+01 -1.5877 0.1131099
lfuel 3.5462e+01 1.3440e+01 2.6386 0.0086374 **
idCalifornia -3.6738e+01 1.0537e+01 -3.4865 0.0005414 ***
idColorado 4.8889e+00 2.4489e+00 1.9963 0.0465483 *
idConnecticut 8.4909e+00 2.5355e+00 3.3488 0.0008857 ***
idFlorida 5.6786e+00 2.4597e+00 2.3087 0.0214499 *
idGeorgia -2.4297e+00 2.4232e+00 -1.0027 0.3166120
idIllinois 5.2887e+00 2.4611e+00 2.1489 0.0322163 *
idIndiana -5.5053e+00 2.4659e+00 -2.2326 0.0261091 *
idLouisiana -8.7304e+00 2.5344e+00 -3.4448 0.0006296 ***
idMaryland -3.5591e+00 2.4383e+00 -1.4596 0.1451445
idMassachusetts 1.9054e+01 3.0766e+00 6.1932 1.417e-09 ***
idMichigan 1.0498e+01 2.5792e+00 4.0704 5.618e-05 ***
idMinnesota 2.4759e+00 2.4258e+00 1.0206 0.3080186
idMissouri -6.7421e+00 2.4898e+00 -2.7078 0.0070514 **
idNewJersey 3.7617e+00 2.4384e+00 1.5427 0.1236756
idNewYork 2.8210e+01 3.4795e+00 8.1075 5.838e-15 ***
idNorthCarolina 3.8611e+00 2.4377e+00 1.5839 0.1139757
idOhio 9.3794e+00 2.5624e+00 3.6604 0.0002842 ***
idPennsylvania 1.1923e+01 2.6287e+00 4.5356 7.525e-06 ***
idTennessee -6.0484e+00 2.4765e+00 -2.4423 0.0150088 *
idTexas 1.4824e+01 2.7373e+00 5.4155 1.035e-07 ***
idVirginia -2.2821e-01 2.4166e+00 -0.0944 0.9248104
idWashington 2.6074e+00 2.4251e+00 1.0752 0.2829127
idWisconsin -1.0448e-01 2.4166e+00 -0.0432 0.9655374
time2001 1.0547e+03 6.3564e+02 1.6593 0.0978081 .
time2002 5.7367e+02 3.3429e+02 1.7161 0.0868954 .
time2003 -3.6338e+02 2.5872e+02 -1.4045 0.1609182
time2004 -1.0137e+03 6.6549e+02 -1.5232 0.1284566
time2005 -1.6853e+03 1.0870e+03 -1.5503 0.1218213
time2006 -1.8094e+03 1.1639e+03 -1.5546 0.1207934
time2007 -1.7789e+03 1.1440e+03 -1.5550 0.1207023
time2008 -1.5027e+03 9.6108e+02 -1.5636 0.1186806
time2009 1.9299e+01 1.1512e+01 1.6764 0.0944153 .
time2010 -8.7140e+01 5.9971e+01 -1.4530 0.1469666
time2011 -2.9307e+02 1.8459e+02 -1.5877 0.1131191
time2012 -1.6766e+02 1.0418e+02 -1.6094 0.1082851
time2013 -2.6531e+02 1.6431e+02 -1.6147 0.1071395
time2014 1.4550e+01 1.9531e+01 0.7450 0.4567066
iis21 9.0646e+01 1.1888e+01 7.6252 1.670e-13 ***
iis22 7.0845e+01 1.1527e+01 6.1459 1.864e-09 ***
iis23 7.6079e+01 1.1624e+01 6.5452 1.751e-10 ***
iis24 1.0307e+02 1.1602e+01 8.8833 < 2.2e-16 ***
iis25 1.1456e+02 1.1290e+01 10.1468 < 2.2e-16 ***
iis26 1.8977e+02 1.1112e+01 17.0772 < 2.2e-16 ***
iis27 1.7426e+02 1.1322e+01 15.3912 < 2.2e-16 ***
iis28 2.0837e+02 1.1652e+01 17.8831 < 2.2e-16 ***
iis29 2.1438e+02 1.2424e+01 17.2548 < 2.2e-16 ***
iis30 1.6650e+02 1.3084e+01 12.7255 < 2.2e-16 ***
iis31 1.7408e+02 1.2379e+01 14.0629 < 2.2e-16 ***
iis32 1.6708e+02 1.2215e+01 13.6787 < 2.2e-16 ***
iis33 1.6596e+02 1.2014e+01 13.8137 < 2.2e-16 ***
iis34 1.1678e+02 1.1903e+01 9.8108 < 2.2e-16 ***
iis35 1.4042e+02 1.1252e+01 12.4794 < 2.2e-16 ***
iis36 1.4473e+02 1.1234e+01 12.8834 < 2.2e-16 ***
iis37 1.1510e+02 1.1260e+01 10.2214 < 2.2e-16 ***
iis38 1.3020e+02 1.1085e+01 11.7460 < 2.2e-16 ***
iis39 1.0500e+02 1.1090e+01 9.4685 < 2.2e-16 ***
iis208 4.4583e+01 8.0164e+00 5.5614 4.794e-08 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 7.2097 1 0.007251 **
Ljung-Box ARCH(1) 4.8416 1 0.027781 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 7.64106
R-squared 0.97631
Log-lik.(n=480) -1625.18814 2
Formula: patent_count ~ gdp + pop + avg_temp + fuel
2 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:34:21 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.8181e-01 3.7709e-02 4.8213 1.915e-06 ***
gdp -1.9134e-04 1.6316e-04 -1.1727 0.241484
pop -6.0756e-03 6.3049e-03 -0.9636 0.335717
avg_temp 9.9100e-01 4.1192e-01 2.4058 0.016512 *
fuel 1.0734e-01 5.0542e-02 2.1237 0.034202 *
idAlaska -2.3360e+00 7.3512e-01 -3.1777 0.001580 **
idArkansas -7.9120e-01 7.2769e-01 -1.0873 0.277455
idDelaware 9.3329e+00 1.0905e+00 8.5581 < 2.2e-16 ***
idDistrictofColumbia 3.9619e-01 7.2669e-01 0.5452 0.585868
idHawaii -2.3436e-01 7.2671e-01 -0.3225 0.747223
idIdaho 7.9177e-01 7.2730e-01 1.0886 0.276854
idIowa 6.5417e-01 7.2701e-01 0.8998 0.368673
idKansas -2.1849e-01 7.2669e-01 -0.3007 0.763801
idKentucky 2.4604e-01 7.2661e-01 0.3386 0.735046
idMaine 3.0270e-01 7.2657e-01 0.4166 0.677149
idMississippi -1.7515e+00 7.3167e-01 -2.3939 0.017051 *
idMontana -1.3462e+00 7.2940e-01 -1.8456 0.065566 .
idNebraska -7.6925e-01 7.2767e-01 -1.0571 0.290978
idNevada 3.2240e+00 7.4193e-01 4.3455 1.696e-05 ***
idNewHampshire 4.2958e+00 7.5713e-01 5.6738 2.412e-08 ***
idNewMexico 5.4083e+00 7.6914e-01 7.0316 7.025e-12 ***
idNorthDakota -1.6840e+00 7.3130e-01 -2.3027 0.021720 *
idOklahoma 2.0233e+00 7.3180e-01 2.7648 0.005914 **
idOregon 9.7145e+00 8.9303e-01 10.8782 < 2.2e-16 ***
idRhodeIsland 1.4884e+00 7.3006e-01 2.0387 0.042027 *
idSouthCarolina 5.4003e+00 1.0435e+00 5.1751 3.348e-07 ***
idSouthDakota -8.8489e-02 7.2658e-01 -0.1218 0.903118
idUtah 3.9311e+00 7.4886e-01 5.2494 2.292e-07 ***
idVermont -5.2731e-02 7.2655e-01 -0.0726 0.942172
idWestVirginia -1.5298e+00 7.3019e-01 -2.0950 0.036693 *
idWyoming -1.1946e+00 7.2879e-01 -1.6392 0.101822
time2001 -6.8168e+00 4.4310e+00 -1.5384 0.124600
time2002 -6.2086e+00 4.1547e+00 -1.4944 0.135738
time2003 -4.3851e+00 3.3210e+00 -1.3204 0.187315
time2004 -4.5372e+00 2.2077e+00 -2.0552 0.040402 *
time2005 -3.1168e+00 1.4990e+00 -2.0793 0.038117 *
time2006 -3.4919e+00 1.5722e+00 -2.2210 0.026814 *
time2007 -3.2016e+00 1.6263e+00 -1.9686 0.049571 *
time2008 -4.6634e+00 3.1544e+00 -1.4784 0.139964
time2009 -9.0531e-01 2.4874e+00 -0.3640 0.716053
time2010 -1.7917e+00 2.8099e+00 -0.6377 0.524003
time2011 -4.0459e+00 3.4525e+00 -1.1719 0.241825
time2012 -4.9685e+00 3.3244e+00 -1.4946 0.135685
time2013 -3.0441e+00 3.1539e+00 -0.9652 0.334930
time2014 -3.0227e+00 3.0009e+00 -1.0073 0.314314
time2015 -6.7101e-02 1.0846e+00 -0.0619 0.950693
time2016 5.3129e-01 9.4891e-01 0.5599 0.575808
iis382 1.7545e+01 2.4121e+00 7.2736 1.427e-12 ***
iis429 1.5388e+01 2.5097e+00 6.1313 1.816e-09 ***
iis432 1.2616e+01 2.5040e+00 5.0386 6.645e-07 ***
iis437 2.9392e+01 2.8899e+00 10.1706 < 2.2e-16 ***
iis438 2.6341e+01 2.8896e+00 9.1156 < 2.2e-16 ***
fesisDelaware.2008 1.0784e+01 1.6468e+00 6.5488 1.489e-10 ***
fesisDelaware.2011 -1.7921e+01 2.7206e+00 -6.5872 1.176e-10 ***
fesisDelaware.2012 1.3255e+01 2.9263e+00 4.5295 7.462e-06 ***
fesisDelaware.2014 -1.2995e+01 1.8869e+00 -6.8870 1.785e-11 ***
fesisSouthCarolina.2008 1.3085e+01 1.4383e+00 9.0977 < 2.2e-16 ***
fesisSouthCarolina.2017 -1.1470e+01 1.8918e+00 -6.0631 2.699e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 2.3935 1 0.12184
Ljung-Box ARCH(1) 5.3589 1 0.02062 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.29751
R-squared 0.88528
Log-lik.(n=540) -1186.41280 
Formula: patent_count ~ lgdp + gdp_sq + lpop + lgdp_sq + avg_temp + lfuel
2 (2000:2020); p.value: 0.001; AR: 1
Date: Wed Mar 22 15:37:04 2023
Dependent var.: y
Method: Ordinary Least Squares (OLS)
Variance-Covariance: Ordinary
No. of observations (mean eq.): 540
Sample: 1 to 540
SPECIFIC mean equation:
coef std.error t-stat p-value
ar1 1.8181e-01 3.7709e-02 4.8213 1.915e-06 ***
lgdp 6.2097e+02 1.0173e+03 0.6104 0.541891
gdp_sq 5.6563e-09 1.2382e-08 0.4568 0.648014
lpop -1.8516e+02 1.6499e+02 -1.1223 0.262311
lgdp_sq -4.0918e+01 7.7373e+01 -0.5288 0.597159
avg_temp -1.6982e+00 3.3120e+00 -0.5128 0.608359
lfuel -6.0251e+00 1.1884e+01 -0.5070 0.612381
idAlaska -2.3360e+00 7.3512e-01 -3.1777 0.001580 **
idArkansas -7.9120e-01 7.2769e-01 -1.0873 0.277455
idDelaware 9.3329e+00 1.0905e+00 8.5581 < 2.2e-16 ***
idDistrictofColumbia 3.9619e-01 7.2669e-01 0.5452 0.585868
idHawaii -2.3436e-01 7.2671e-01 -0.3225 0.747223
idIdaho 7.9177e-01 7.2730e-01 1.0886 0.276854
idIowa 6.5417e-01 7.2701e-01 0.8998 0.368673
idKansas -2.1849e-01 7.2669e-01 -0.3007 0.763801
idKentucky 2.4604e-01 7.2661e-01 0.3386 0.735046
idMaine 3.0270e-01 7.2657e-01 0.4166 0.677149
idMississippi -1.7515e+00 7.3167e-01 -2.3939 0.017051 *
idMontana -1.3462e+00 7.2940e-01 -1.8456 0.065566 .
idNebraska -7.6925e-01 7.2767e-01 -1.0571 0.290978
idNevada 3.2240e+00 7.4193e-01 4.3455 1.696e-05 ***
idNewHampshire 4.2958e+00 7.5713e-01 5.6738 2.412e-08 ***
idNewMexico 5.4083e+00 7.6914e-01 7.0316 7.025e-12 ***
idNorthDakota -1.6840e+00 7.3130e-01 -2.3027 0.021720 *
idOklahoma 2.0233e+00 7.3180e-01 2.7648 0.005914 **
idOregon 9.7145e+00 8.9303e-01 10.8782 < 2.2e-16 ***
idRhodeIsland 1.4884e+00 7.3006e-01 2.0387 0.042027 *
idSouthCarolina 5.4003e+00 1.0435e+00 5.1751 3.348e-07 ***
idSouthDakota -8.8489e-02 7.2658e-01 -0.1218 0.903118
idUtah 3.9311e+00 7.4886e-01 5.2494 2.292e-07 ***
idVermont -5.2731e-02 7.2655e-01 -0.0726 0.942172
idWestVirginia -1.5298e+00 7.3019e-01 -2.0950 0.036693 *
idWyoming -1.1946e+00 7.2879e-01 -1.6392 0.101822
time2001 -2.8731e+01 4.2913e+01 -0.6695 0.503494
time2002 -2.4984e+01 3.5949e+01 -0.6950 0.487387
time2003 -2.2103e+01 3.0495e+01 -0.7248 0.468916
time2004 -1.6844e+01 1.7147e+01 -0.9823 0.326431
time2005 -1.1969e+01 1.0861e+01 -1.1020 0.271030
time2006 -6.9852e+00 4.5843e+00 -1.5237 0.128231
time2007 -3.8796e+00 1.6954e+00 -2.2883 0.022550 *
time2008 -1.8980e+00 1.7789e+00 -1.0670 0.286504
time2009 -2.6862e+00 5.6548e+00 -0.4750 0.634987
time2010 -3.9832e-01 2.4906e+00 -0.1599 0.873006
time2011 3.4768e+00 5.7582e+00 0.6038 0.546254
time2012 5.3856e+00 9.3117e+00 0.5784 0.563285
time2013 1.0434e+00 2.2990e+00 0.4538 0.650143
time2014 -1.1568e+00 1.8763e+00 -0.6165 0.537848
iis382 1.7545e+01 2.4121e+00 7.2736 1.427e-12 ***
iis429 1.5388e+01 2.5097e+00 6.1313 1.816e-09 ***
iis432 1.2616e+01 2.5040e+00 5.0386 6.645e-07 ***
iis437 2.9392e+01 2.8899e+00 10.1706 < 2.2e-16 ***
iis438 2.6341e+01 2.8896e+00 9.1156 < 2.2e-16 ***
fesisDelaware.2008 1.0784e+01 1.6468e+00 6.5488 1.489e-10 ***
fesisDelaware.2011 -1.7921e+01 2.7206e+00 -6.5872 1.176e-10 ***
fesisDelaware.2012 1.3255e+01 2.9263e+00 4.5295 7.462e-06 ***
fesisDelaware.2014 -1.2995e+01 1.8869e+00 -6.8870 1.785e-11 ***
fesisSouthCarolina.2008 1.3085e+01 1.4383e+00 9.0977 < 2.2e-16 ***
fesisSouthCarolina.2017 -1.1470e+01 1.8918e+00 -6.0631 2.699e-09 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Diagnostics and fit:
Chi-sq df p-value
Ljung-Box AR(1) 2.3935 1 0.12184
Ljung-Box ARCH(1) 5.3589 1 0.02062 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SE of regression 2.29751
R-squared 0.88528
Log-lik.(n=540) -1186.41280